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Home Question Bank Math Pre Calculus Archive 2024 November 07

Pre-calculus Questions from Nov 07,2024

Browse the Pre-calculus Q&A Archive for Nov 07,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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En cierta ciudad, la población en cualquier tiempo cambia a una razón proporcional a la población existente. En 1985 había 40,000 habitantes y en 1995 habia 48,000 . Una ecuación para la población en el tiempo \( t \), donde \( t \) es el número de años contados a partir de 1985 es: (1) Hallar la grafica a) \( f(x)=\frac{1}{4} x+5 \) b) \( -5 x-15 y+35=0 \) c) \( f(x)=8 \operatorname{sen} x \) Question 9 of 10 How would you describe the difference between the graphs of \( f(x)=x^{2}+4 \) and \( g(y)=y^{2}+4 \) ? A. \( g(y) \) is a reflection of \( f(x) \) over the \( y \)-axis. B. \( g(y) \) is a reflection of \( f(x) \) over the line \( y=1 \) D. \( g(y) \) is a reflection of \( f(x) \) over the line \( y=x \). Deflection of \( f(x) \) over the \( x \)-axis. Answer parts (a)-(e) for the function shown below. \( f(x)=x^{3}+4 x^{2}-x-4 \) a. Use the leading coefficient test to determine the graph's end behavior. Which statement describes the be \( f(x)=x^{3}+4 x^{2}-x-4 \) ? A. The graph rises to the left and to the right. B. The graph falls to the left and rises to the right. C. The graph rises to the left and falls to the right. D. The graph falls to the left and to the right. Graph the following function. \( f(x)=-\frac{1}{4} x^{2} \) 5. Determinar el dominio y rango de las siguientes funciones, indicar los intervalos en los cuales son crecientes o decrecientes, y graficarlas a) \( g_{(x)}=\frac{1}{3}(x-5) \) b) \( f_{(x)}=-2 x^{2}-8 x+3 \) Question 6 of 10 What can you say about the \( y \)-values of the two functions \( f(x)=-5^{x}+2 \) and \( g(x)=-5 x^{2}+2 \) ? A. \( g(x) \) has the largest possible \( y \)-value. B. \( f(x) \) and \( g(x) \) have equivalent maximum \( y \)-values. C. The maximum \( y \)-value of \( f(x) \) approaches 2 . D. \( f(x) \) has the largest possible \( y \)-value. Question 5 of 10 How does the graph of \( f(x)=\frac{1}{2}(3)^{x+2}-1 \) relate to its parent function? \( \square \) A. The parent function has been translated to the left. \( \square \) B. The parent function has been stretched. \( \square \) C. The parent function has been translated down. \( \square \) D. The parent function has been compressed. 3.11.3 Quiz: Comparing and Analyzing Function Types Question 3 of 10 What can you say about the end behavior of the function \( f(x)=-4 x^{6}+6 x^{2}-52 \) ? A. The leading coefficient is positive so the left end of the grapt goes down. B. The leading coefficient is positive so the left end of the grapt goes up. \( f(x) \) is an even function so both ends of the graph go in the s direction. D. \( f(x) \) is an even function so both ends of the graph go in oppe directions. Question 1 of 10 How would you describe the difference between the graphs of \( f(x)=2 x^{2} \) and \( g(x)=-2 x^{2} \) ? A. \( g(x) \) is a reflection of \( f(x) \) over the \( y \)-axis. B. \( g(x) \) is a reflection of \( f(x) \) over the line \( y=-1 \). C. \( g(x) \) is a reflection of \( f(x) \) over the x-axis. D. \( g(x) \) is a reflection of \( f(x) \) over the line \( y=x \).
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