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Home Question Bank Math Pre Calculus Archive 2024 November 27

Pre-calculus Questions from Nov 27,2024

Browse the Pre-calculus Q&A Archive for Nov 27,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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2. (3 points) Which function has a removable discontinuity? \( \begin{array}{ll}\text { (A) } y=\frac{|x-2|}{x-2} & \text { (B) } y=\frac{2(x-1)}{(x-1)(x+3)} \\ \text { (C) } y=\frac{x}{3+x} & \text { (D) } y=\frac{1}{x^{2}}\end{array} \) Determina el valor máximo de la función \( f(x)=-x^{2}+4 x-3 \) * 4. \( f(x)=\frac{1}{2} \cdot 2^{1+2}+4 \) and \( g(x)=-x^{2}-5 x+6 \) 4.1 Draw graphs of \( f \) and \( g \) on the same system of axes. Clearly indicate tuming points, A fence is to be built to enclose a regular area of 800 square Feet. The Fence along three sides is to be made of material that cost per The material for the fourth sic Cost \( \$ 12 \) per foot. Find the dimensions of the rectangle tha will allow for the most econo fence to be built Ao observar certo tipo de planta, um agrônomo concluiu que seu crescimento pode ser expresso pela enção \( \mathrm{h}(\mathrm{t})=\log _{2}(\mathrm{t}+\mathbf{1}) \). Nessa funçâo I representa o número de dias, após a germinação, e h(t) representa a altura da planta em cm. Assim sendo, pode-se afirmar que a altura dessa planta, após 8191 dias de germinação, será de: (2pontos) Una empresa especializada en fabricación de muebles de Ratán obtiene una utilidad mensual, en dólares, de acuerdo a la siguiente función \( U(x)=-1.2 x^{2}+180 x-280 \), donde \( x \) es el número de muebles mensuales fabricados y vendidos. Indique cuál de las siguientes afirmaciones es falsa Seleccione una: a. Al producir y vender más de 150 unidades de muebles la empresa tiene pérdidas. b. Producir y vender 30 unidades de muebles genera la misma utilidad que producir y vender 120 unidades mensuales. c. La utilidad máxima de 6470 dólares se alcanza al producir y vender 75 unidades de muebles mensuales. d. Hay mayor utilidad para la empresa al producir y vender 140 muebles que al producir y vender 20 muebles. e. Si se fabrican y venden 10 muebles mensuales la empresa alcanza una utilidad de 1400 dólares. Determine whether the following function is even, odd, or neither even nor odd. \( f(x)=2 x \sqrt{10-x^{2}} \) Choose the correct answer below. A. The function \( f \) is even. B. The function \( f \) is odd. C. The function \( f \) is neither even nor odd. the following exercise eliminate the parameter \( t \). The \( x=4 t-5, y=16 t^{2} ;-\infty<t<\infty \) a) Observando la gráfica de la función por tramos \( f \), determina los valores de \( a, b, c, y d \). \[ f(x)=\left\{\begin{array}{lll}\text { Expresión1 } & \text { Si } a \leq x \leq b \\ \text { Expresión2 } & \text { Si } b<x \leq c \\ \text { Expresión3 } & \text { Si } c<x \leq d\end{array}\right. \] Graph all asymptotes of the rational function. \[ f(x)=\frac{-x^{2}+6 x+1}{x-2} \]
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