tag:blogger.com,1999:blog-591898874790663602024-03-19T15:47:59.498-07:00Função do 2º grauUnknownnoreply@blogger.comBlogger1125tag:blogger.com,1999:blog-59189887479066360.post-47743617617840204172012-02-10T15:55:00.000-08:002012-02-10T16:11:27.809-08:00FUNÇÃO DO 2º GRAU<span style="color: red; font-size: medium;">FUNÇÃO DO 2º GRAU</span><br />
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<span style="color: blue;">DEFINIÇÃO</span><br />
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Chama-se função quarática a função definida por:<br />
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<div class="MsoNormal" style="margin: 0cm 0cm 10pt;"><span style="font-family: Calibri;">Y = ax² + bx + c</span></div><br />
onde a, b e c são números reais e a <span style="font-family: "Cambria", "serif";">≠ 0.</span><br />
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<span style="font-family: "Cambria", "serif";">Exemplos:</span><br />
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<div class="MsoListParagraphCxSpFirst" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: "Cambria", "serif"; mso-bidi-font-family: Cambria; mso-fareast-font-family: Cambria;"><span style="mso-list: Ignore;">1)<span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = x² - 7x + 10</span></div><br />
<div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: "Cambria", "serif"; mso-bidi-font-family: Cambria; mso-fareast-font-family: Cambria;"><span style="mso-list: Ignore;">2)<span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = 3x² - x – 4</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: "Cambria", "serif"; mso-bidi-font-family: Cambria; mso-fareast-font-family: Cambria;"><span style="mso-list: Ignore;">3)<span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = 3x²</span></div><br />
<div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 10pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="font-family: "Cambria", "serif"; mso-bidi-font-family: Cambria; mso-fareast-font-family: Cambria;"><span style="mso-list: Ignore;">4)<span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = x² - 4</span></div><span style="font-family: Times New Roman;"></span><br />
<span style="font-family: Times New Roman;">EXERCÍCIOS</span><br />
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<span style="font-family: Times New Roman;">1) Quais são funções quadráticas?</span><br />
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<div class="MsoListParagraphCxSpFirst" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">a)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = x² - 5x + 6 <span style="color: red;">(X)</span></span></div><br />
<div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">b)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = 3x² - 2x + 1 <span style="color: red;">(X)</span></span></div><br />
<div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">c)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y =n 5x – x + 3</span></div><br />
<div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">d)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = 2 + 4x – 1</span></div><br />
<div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">e)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = 5x² <span style="color: red;">(X)</span></span></div><br />
<div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">f)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = -x² + 4 <span style="color: red;">(X)</span></span></div><br />
<div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">g)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y = 2x – 5</span></div><br />
<div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 10pt 36pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">h)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Y= x²/3 – 4x <span style="color: red;">(X)</span></span></div><br />
2) Verifique se a funçao <span style="font-family: "Cambria", "serif";">Y = (2x – 1)² - 4 ( x+1)² é u</span><span style="font-family: "Cambria", "serif";">ma função quadratica. </span><br />
<span style="font-family: "Cambria", "serif";"><span style="color: red;">(R: não)</span></span><br />
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<span style="font-family: "Cambria", "serif";">3) Obter m na função <span style="font-family: "Cambria", "serif";">Y = ( m + 2)x² - 5x + 1 para que seja quadrática</span></span><br />
<span style="font-family: "Cambria", "serif";"><span style="font-family: "Cambria", "serif";"><span style="color: red;">R: <span style="font-family: "Cambria", "serif";">m + 2 ≠ 0 e m≠-2</span></span></span></span><br />
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<span style="color: purple;">REPRESENTAÇÃO GRÁFICA DA FUNÇÃO DO 2º GRAU</span><br />
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Vamos atribuir a x valores quaisquer do conjunto dos números reais e calcular o correspondente de y .<br />
O gráfico da função quadrática, quando definida de R em R, é uma curva denominada parábola, como nos seguintes exemplos:<br />
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1) Seja a funão definida por: <span style="color: blue;"> <span style="font-family: "Cambria", "serif";">y = x² -4x + 3</span></span> <br />
<span style="font-family: "Cambria", "serif";">Solução :</span><br />
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<span style="font-family: "Cambria", "serif";">Vamos atribuir a x os valores : -1,0,1,2,3,4 e 5 e calcular os valores de y.</span></span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGpeCyDlII3yr5FM6y0hYoZa9s4qBTxwE6P07T6M_mbC_iGUxIiZ8ZSqCI-J2sIU84SP-qHtpS96l1sXUoWHdbetLqPf8YpsTNjQyWzSDIOdK5w0f7Nq3TENoEivkii5zOFDvVR4lbLco/s1600/Slide1.JPG" imageanchor="1" style="clear: left; cssfloat: right; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGpeCyDlII3yr5FM6y0hYoZa9s4qBTxwE6P07T6M_mbC_iGUxIiZ8ZSqCI-J2sIU84SP-qHtpS96l1sXUoWHdbetLqPf8YpsTNjQyWzSDIOdK5w0f7Nq3TENoEivkii5zOFDvVR4lbLco/s320/Slide1.JPG" width="320" /></a><br />
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a seguir:<br />
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1º) Marcamos os pontos no gráfico.<br />
2º) Traçarmos a curva<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMmOMos3M_Os7IQBesDWOR2TgGscnEhEtQTNNySyRSIOObm-PqFf1MZSoucdXCAMzAiB74rpCjhYOaRrv_fIdqfD7kHClr8ELVFb-J8evN8ozy9jv6I7eBjsLKLnoh8BT_IN__ujDTNgY/s1600/14.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMmOMos3M_Os7IQBesDWOR2TgGscnEhEtQTNNySyRSIOObm-PqFf1MZSoucdXCAMzAiB74rpCjhYOaRrv_fIdqfD7kHClr8ELVFb-J8evN8ozy9jv6I7eBjsLKLnoh8BT_IN__ujDTNgY/s320/14.jpg" width="320" /></a></div><br />
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Os ponto V indicado na figura chama-se vértice da parabola<br />
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2) Seja a função definida por: <span style="color: blue; font-family: Calibri;">Y = -x² -6x - 8</span><br />
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<span style="color: black; font-family: Calibri;">Solução:</span><br />
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<span style="font-family: Calibri;">Vamos atribuir a x os valores 0,1,2,3,4,5 e 6 e calcular o valor de y</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiif9xGsYLGQpij_j-eT_HjcC0uKN-DC2qWiV1GD-ZV_fDDTG568r7MhM-DiGdPFg__cgsvCmHyYWBgq7-CRnzZa8YlZAHopBBTwGVL3xvBD0LmZiiPDRO2jILi5U-Z80eSEwCBAHn9X_k/s1600/1.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiif9xGsYLGQpij_j-eT_HjcC0uKN-DC2qWiV1GD-ZV_fDDTG568r7MhM-DiGdPFg__cgsvCmHyYWBgq7-CRnzZa8YlZAHopBBTwGVL3xvBD0LmZiiPDRO2jILi5U-Z80eSEwCBAHn9X_k/s320/1.jpg" width="320" /></a><br />
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A seguir <br />
1º) Marcamos os pontos do gráfico.<br />
2º) Traçamos a curva<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhmTRC4L0uSnfaSywjbSTNWUIzDEy4b6hxB8HHGzJC7T-anGACxK8czY5Gq3vdM81YhUkasIeOuMVSWPhyphenhyphen6b-iMnjsHohZFpNbUgYMpaqJ-v59D7IvBTRCHJdgnUho_1C5vjhWueno3hk/s1600/2.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhmTRC4L0uSnfaSywjbSTNWUIzDEy4b6hxB8HHGzJC7T-anGACxK8czY5Gq3vdM81YhUkasIeOuMVSWPhyphenhyphen6b-iMnjsHohZFpNbUgYMpaqJ-v59D7IvBTRCHJdgnUho_1C5vjhWueno3hk/s320/2.jpg" width="320" /></a></div><br />
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O ponto V indicado na figura é o vértice da parábola<br />
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3) Seja a função definida por : <span style="color: blue; font-family: Calibri;">Y = x² -2x + 1</span><br />
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<span style="color: black; font-family: Calibri;">Solução:</span><br />
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<span style="font-family: Calibri;">Atribuindo-se valores para x obteremos valores correspondentes para y. </span><br />
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<span style="font-family: Calibri;">veja:</span><br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWMd4MzkMHwa_DpXoR0IScYW8xrSDR7UA0b5lg1WJCRD9IBSqkqh4UKI3bG5BoWvR0KjBOIx_z2Ovd3vw4yuII8t4Xp_5VdbmI4Z__NHDhsKj_pI3eekJEg8rjmBeOAJ00ZrGpnsZ8-PI/s1600/3.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWMd4MzkMHwa_DpXoR0IScYW8xrSDR7UA0b5lg1WJCRD9IBSqkqh4UKI3bG5BoWvR0KjBOIx_z2Ovd3vw4yuII8t4Xp_5VdbmI4Z__NHDhsKj_pI3eekJEg8rjmBeOAJ00ZrGpnsZ8-PI/s320/3.jpg" width="320" /></a></div><br />
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A seguir :<br />
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1º) Marcamos os pontos no gráfico.<br />
2º) Traçamos a curva<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcVVCX0QddqQ3JgZVq1TlP8dre7V2wX4St8z7E-KrYAziA6vWLFkC2SY5Pd9i-R-rpU5bNHBvJgyq2WRXfGAoh2lwyhfYIZhVoHo46OxwbgbyipK2UZeoXkDMWLMJxOu6-wXWK3tIOBPQ/s1600/4.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhcVVCX0QddqQ3JgZVq1TlP8dre7V2wX4St8z7E-KrYAziA6vWLFkC2SY5Pd9i-R-rpU5bNHBvJgyq2WRXfGAoh2lwyhfYIZhVoHo46OxwbgbyipK2UZeoXkDMWLMJxOu6-wXWK3tIOBPQ/s320/4.jpg" width="320" /></a></div><br />
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O ponto V indicado na figura é o <u><em><span style="color: blue;">vértice</span></em></u> da parábola<br />
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<span style="color: red; font-size: medium;">CARACTERÍSTICAS DA FUNÇÃO QUADRÁTICA</span><br />
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a) Quando à concavidade da parábola:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglJb3ksUpSVGJ9uhI7vCotwnQFYtCC64xWMDrXbHD3pAXJrkx6KhUPCxqJdJ1HCf1d8ZHpR90MZCyLAhYe0ervTg9xzW-adGx8pGXjYelSopjEvlHMGkrlB1W_ca9BbwQ-APJXGQcmnww/s1600/1.jpg" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" ida="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglJb3ksUpSVGJ9uhI7vCotwnQFYtCC64xWMDrXbHD3pAXJrkx6KhUPCxqJdJ1HCf1d8ZHpR90MZCyLAhYe0ervTg9xzW-adGx8pGXjYelSopjEvlHMGkrlB1W_ca9BbwQ-APJXGQcmnww/s320/1.jpg" width="320" /></a><br />
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b) Quanto às coordenadas do vértice:<br />
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<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTC4cvyiUxs7_nyjnPulwqprNkyLyJ-L7hyphenhyphenzzPernf3oZpYFbBh7jC2Sh7PZ_OEZBRIC2OeEHm5a3XmLEzc8d48_QyYQttIBOlstQRtQcMcERWQDe7YYnyIAP6MahayhlD0xb5twgTabs/s1600/1.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTC4cvyiUxs7_nyjnPulwqprNkyLyJ-L7hyphenhyphenzzPernf3oZpYFbBh7jC2Sh7PZ_OEZBRIC2OeEHm5a3XmLEzc8d48_QyYQttIBOlstQRtQcMcERWQDe7YYnyIAP6MahayhlD0xb5twgTabs/s320/1.jpg" width="320" /></a></div><br />
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<div class="separator" style="clear: both; text-align: left;">EXERCÍCIOS</div><br />
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<div class="separator" style="clear: both; text-align: left;">1) Observe cada função quadrática e responda se o gráfico da parábola tem concavidade para cima ou para baixo,</div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt;"><span style="font-family: Calibri;">6) Dada a função y = x²+ 2x+ 2 complete a tabela e esboce o seu gráfico:</span></div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="font-family: Calibri;">a) y= x²-3x + 2</span></span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="font-family: Calibri;">b) y= x² + 4x -3</span></span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">c) y = x²-4x +4</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">d) y = -x² + 6x – 9</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">e) Y = x² - x + 2</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">f) y = x² - 4</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">g) y = -x² + 9</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">h) y = x² - 3x</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">i) y = x² - 2x – 8</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">j) y = 2x²</span></div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt;"><span style="color: red; font-family: Calibri; font-size: medium;">ZEROS DA FUNÇÃO QUADRATICA</span></div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt;"><span style="font-family: Calibri;">Os zeros da função quadrática y = ax² + bx + c, são os valores de x para os quais y = 0</span></div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt;"><span style="font-family: Calibri;">Então:</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">Achar os zeros da função quadrática equivale a resolver a equação do 2º grau </span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="font-family: Calibri;">ax² + bx + c = 0 ( a diferente de 0)</span></div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt;"><span style="font-family: Calibri;">EXEMPLOS</span></div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt;"><span style="font-family: Calibri;">Dada a função x² - 5x + 6:</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">a)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Obtenha os zeros da função</span></div><br />
<div class="separator" style="clear: both; text-align: left;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">b)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Com os zeros obtidos esboce o gráfico da função</span></div><br />
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<div class="separator" style="clear: both; text-align: left;">Os zeros da função são 2 e 3.</div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt;"><span style="font-family: Calibri;">2) Dada a função y = -x² + 6x – 9:</span></div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt 54pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">a)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Obtenha os zeros da função.</span></div><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt 54pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">b)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Com os zeros obtidos esboce o gráfico da função.</span></div><br />
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<span style="font-family: Calibri;">3) Dada a função y = x² -2x + 5:</span></div><br />
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<span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;"> a)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Obtenha os zeros da função.</span><br />
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<div class="MsoNoSpacing" style="margin: 0cm 0cm 0pt 54pt; mso-list: l0 level1 lfo1; text-indent: -18pt;"><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;"><span style="font-family: Calibri;">b)</span><span style="font-family: "Times New Roman"; font-size-adjust: none; font-stretch: normal;"> </span></span></span><span style="font-family: Calibri;">Com os zeros obtidos esboce o gráfico da função.</span></div><br />
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</div>EXERCÍCIOS<br />
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