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Home Question Bank Math Pre Calculus Archive 2024 November 06

Pre-calculus Questions from Nov 06,2024

Browse the Pre-calculus Q&A Archive for Nov 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\begin{tabular}{l} Function Evaluation \\ \hline Given the function \( f(x)=24(0.71)^{x} \), evaluate each of the following. \\ Round answers to the nearest hundredth as needed. \\ \( \qquad f(-3)=67.03 \) \\ \( f(-1)=47.62 \) \\ \( f(0)=24 \) \\ \( f(1)=17.04 \) \\ \( f(2)=12.10 \) \\ \( f(3)=1 \)\end{tabular} \begin{tabular}{|l|}\hline \multicolumn{1}{|c|}{ Function Evaluation } \\ \hline \hline \( \begin{array}{l}\text { Given the function } f(x)=24(0.71)^{x}, \text { evaluate each of the following. } \\ \text { Round answers to the nearest hundredth as needed. }\end{array} \) \\ \( f(-3)=\square \) \\ \( f(-2)=\square \) \\ \( f(-1)=\square \) \\ \( f(0)=\square \) \\ \( f(1)=\square \) \\ \( f(2)=\square \) \\ \( f(3)=\square \)\end{tabular} Find the equation of the vertical asymptote \( f(x)=\log (x-1) \) 1. Dada la sucesión con termino general \( \mathrm{a}_{\mathrm{L}}=\frac{\mathrm{n}^{2}+1}{3 \mathrm{n}-2} \) indica si ésta es: \( \begin{array}{ll}\text { a) Decreciente } & \text { b) Conslante } \\ \text { c) Ninguna de las anteriorss } & \text { d) Creciente }\end{array} \) 4. Dibuje en planos diferentes las gráficas de las funciones: \( \quad g(x)=\left(\frac{1}{2}\right)^{x+1} \quad h(x)=\left(\frac{1}{2}\right)^{x}+2 \) \( f(x)=\left(\frac{1}{2}\right)^{x} \) Además, diga con sus proplas palabras cuales fueron las transformaciones (desplazamientos) que tuvieron \( g(x) \) y \( h(x) \) respecto a \( f(x) \). \begin{tabular}{|l||}\hline \multicolumn{1}{|c||}{ Characteristics of Exponential Functions } \\ \hline According to the Mini-Lesson, which of the following are TRUE statements? Check all \\ that apply. \\ \( \square \) In the equation \( y=5(0.25)^{x} \), the decay rate as a \( \% \) is \( 0.25 \% \) \\ In the equation \( y=5(1.06)^{x} \), the growth rate as a \( \% \) is \( 1.06 \% \). \\ In the equation \( y=5(0.25)^{x} \), the decay rate as a \( \% \) is \( 25 \% \). \\ In the equation \( y=5(1.06)^{x} \), the growth rate as a \( \% \) is \( 6 \% \). \\ In the equation \( y=5(0.25)^{x} \), the decay rate as a \% is \( 75 \% \). \\ Question Help: \( \square \) Message instructor \( D \) Post to forum \end{tabular} 1 Points] DETAILS MY NOTES OSPRECALC2 7.5.077. Solve the equation algebraically, and then use a calculator to find the values on the interval \( [0,2 \pi) \). \( x=\square \tan ^{2}(x)+5 \tan (x)-5=0 \) + Calculator Assumed - Question 1 The wind chill index \( I \) is a measure of how quickly a person exposed to a wind will lose heat. It is calculated using the formula below, where \( v \) is the speed of the wind in metres per second and \( T \) is the air temperature in degrees Celsius. \[ I=(10 \sqrt{v}-v+10.2)(34-T) \] (a) Determine \( I \) when the air tempęature is \( -3^{\circ} \mathrm{C} \) and there is a wind of \( 12 \mathrm{~m} / \mathrm{s} \) blowing. (2 manis) Si \( f(x)=3^{x} \), ¿qué sucede con la función a medida que \( x \) aumenta? A. Disminuye rápidamente B. Disminuye lentamente C. Aumenta rápidamente D. Aumenta lentamente Sketch a graph of the transformed function \( h(x) \). \( h(x)=-2 f(x-3)^{2}+1 \)
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