Question

Determine os coeficiente angular e linear, classifique a função em crescente ou decrescente e calcule f(2), f(4). a) f(x) = x + 4  b) f(x)=-9/3x ajuda
pfvvv urgenteeee
alguém sabe????​

Answer 1

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⠀⠀⠀☞ a) a = 1, b = 4, crescente, f(2) = 4 e f(4) = 6; b) a = (-3), b = 0, decrescente, f(2) = -6 e f(4) = -12. ✅

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⠀⠀⠀⭐⠀Para realizar este exercício vamos rever a estrutura da equação reduzida da reta.⠀⭐⠀

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                                    $\quad\LARGE\red{\boxed{\pink{\boxed{\begin{array}{rcl}\green{\star}&&\green{\star}\\&\orange{\bf y = a \cdot x + b}&\\\green{\star}&&\green{\star}\\\end{array}}}}}$

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$\text{\Large\orange{ \diamond~~\bf (x, y) }~\pink{ \Longrightarrow }~}$ Coordenadas dos pontos que pertencem à reta;

$\text{\Large\orange{ \diamond~~\bf a }~\pink{ \Longrightarrow }~}$ Coeficiente angular da reta: a tangente do ângulo formado entre a reta e o eixo das abscissas (Δy / Δx);

$\text{\Large\orange{ \diamond~~\bf b }~\pink{ \Longrightarrow }~}$ Coeficiente linear da reta: o valor de y para quando a reta intercepta o eixo das ordenadas (x = 0).

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                $\setlength{\unitlength}{0.95cm}\begin{picture}(6,5)\thicklines\put(0,0){\vector(1,0){5}}\put(0,0){\vector(0,1){5}}\put(0,0){\vector(-1,0){5}}\put(0,0){\vector(0,-1){3}}\put(4.8,0.2){x}\put(0.2,4.8){y}\put(-5,-2.2){\line(5,3){10}}\put(-3,-1){\circle*{0.13}}\put(2,2){\circle*{0.13}}\put(2,-1){\circle*{0.13}}\put(0,0.8){\circle*{0.13}}\put(-0.5,1){\LARGE \sf b }\bezier{20}(2,2)(2,0.5)(2,-1)\bezier{35}(-3,-1)(-0.5,-1)(2,-1)\put(-3.7,-1){\LARGE \sf P }\put(1.5,2.1){\LARGE \sf Q }\put(2.3,0.4){\Large \sf \Delta y }\put(-1,-1.6){\Large \sf \Delta x }\bezier(-2.1,-0.45)(-1.7,-0.5)(-1.7,-1)\put(-2.3,-0.9){ \alpha }\bezier(-0.5,0.5)(-0.1,0.5)(0,0)\put(-0.55,0.15){ \alpha }\put(-3.5,-5){\dashbox{0.1}(7,1.5){\text{\Large \sf a = tan(\alpha) = \dfrac{\Delta y}{\Delta x} = \dfrac{y_q - y_p}{x_q - x_p} }}}\end{picture}$

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                         $\Large\red{\boxed{\begin{array}{rcl}&\red{\underline{\footnotesize\sf Esta~imagem~n\tilde{a}o~\acute{e}~visualiz\acute{a}vel~pelo~App~Brainly.}}&\\&\green{\footnotesize\sf \bullet~Experimente~compartilhar\rightarrow copiar~e~acessar}&\\&\green{\footnotesize\sf o~link~copiado~pelo~seu~navegador~ou~Browser.}&\\\end{array}}}$

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⠀⠀⠀➡️⠀Sendo assim temos:

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a) f(x) = x + 4⠀⠀⠀⠀ ⠀⠀⠀✍

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⠀⠀⠀➡️⠀a = 1, b = 4, a>0 (crescente), f(2) = 2 + 4 = 6 e f(4) = 4 + 4 = 8.  ✅

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b) f(x) = (-9/3)·x⠀⠀⠀⠀ ⠀✍

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⠀⠀⠀➡️⠀Inicialmente observe que 9/3 = 3, ou seja, f(x) = -3x. Portanto temos que a = (-3), b = 0, a<0 (decrescente), f(2) = (-3)·2 = -6 e f(4) = (-3)·4 = -12.  ✅

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                             $\bf\large\red{\underline{\quad\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

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                                     $\huge\blue{\text{\bf\quad Bons~estudos.}}$ ☕

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                             $\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }\LaTeX}$✍

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                                                          $\Huge\green{\text{ \underline{\red{\mathbb{S}}\blue{\mathfrak{oli}}~}~\underline{\red{\mathbb{D}}\blue{\mathfrak{eo}}~}~\underline{\red{\mathbb{G}}\blue{\mathfrak{loria}}~} }}$ ✞

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