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f(x)=8 -2 -1 0 I -1 2 0 1 2 f(x) = -2(3)* -2 3/2 uestions: 8( )° = 8(3)' = 8 (²)² = -2 (3)= -2(3): -2(3)= -2(3) = -2(3)= 19 w W "9 w IP 12 ww " Y T VIC www T www VIC VIE ne 17 TI vie D 1. What effect does the value of a have on the graph of y = a(b)x? There are two parts to this answer.

f(x)=8 -2 -1 0 I -1 2 0 1 2 f(x) = -2(3)* -2 3/2 uestions: 8( )° = 8(3)' = 8 (²)² = -2 (3)= -2(3): -2(3)= -2(3) = -2(3)= 19 w W "9 w IP 12 ww " Y T VIC www T www VIC VIE ne 17 TI vie D 1. What effect does the value of a have on the graph of y = a(b)x? There are two parts to this answer.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Exponential Functions Worksheet #### Function 1: \( f(x) = 8 \left(\frac{3}{2}\right)^x \) | x | \( y \) | |----|---------------------------------------| | -2 | \( 8 \left(\frac{3}{2}\right)^{-2} \) | | -1 | \( 8 \left(\frac{3}{2}\right)^{-1} \) | | 0 | \( 8 \left(\frac{3}{2}\right)^0 \) | | 1 | \( 8 \left(\frac{3}{2}\right)^1 \) | | 2 | \( 8 \left(\frac{3}{2}\right)^2 \) | *Graph:* The adjacent graph is a set of axes likely intended for plotting the results of this function, showing the effect of \( \left(\frac{3}{2}\right)^x \) scaling the function across different x-values. #### Function 2: \( f(x) = -2(3)^x \) | x | \( y \) | |----|---------------------| | -2 | \( -2(3)^{-2} \) | | -1 | \( -2(3)^{-1} \) | | 0 | \( -2(3)^0 \) | | 1 | \( -2(3)^1 \) | | 2 | \( -2(3)^2 \) | *Graph:* Similarly, another set of axes intended for plotting results of this function. Expect a negative exponential curve that shows a reflection over the x-axis due to the negative coefficient. ### Questions: 1. **What effect does the value of \( a \) have on the graph of \( y = a(b)^x \)?** - There are two parts to this answer. 2. **Explain why none of these graphs cross the x-axis.** ### Additional Explanation: - The tables show a series of \( x \) values and their corresponding \( y \) values calculated using the specified exponential functions. Each row in the table should be calculated to show how \( x \) influences the function output, \( y \). - Neither function crosses the x-axis because exponential functions approach but never reach zero, particularly influenced by the
Transcribed Image Text:### Exponential Functions Worksheet #### Function 1: \( f(x) = 8 \left(\frac{3}{2}\right)^x \) | x | \( y \) | |----|---------------------------------------| | -2 | \( 8 \left(\frac{3}{2}\right)^{-2} \) | | -1 | \( 8 \left(\frac{3}{2}\right)^{-1} \) | | 0 | \( 8 \left(\frac{3}{2}\right)^0 \) | | 1 | \( 8 \left(\frac{3}{2}\right)^1 \) | | 2 | \( 8 \left(\frac{3}{2}\right)^2 \) | *Graph:* The adjacent graph is a set of axes likely intended for plotting the results of this function, showing the effect of \( \left(\frac{3}{2}\right)^x \) scaling the function across different x-values. #### Function 2: \( f(x) = -2(3)^x \) | x | \( y \) | |----|---------------------| | -2 | \( -2(3)^{-2} \) | | -1 | \( -2(3)^{-1} \) | | 0 | \( -2(3)^0 \) | | 1 | \( -2(3)^1 \) | | 2 | \( -2(3)^2 \) | *Graph:* Similarly, another set of axes intended for plotting results of this function. Expect a negative exponential curve that shows a reflection over the x-axis due to the negative coefficient. ### Questions: 1. **What effect does the value of \( a \) have on the graph of \( y = a(b)^x \)?** - There are two parts to this answer. 2. **Explain why none of these graphs cross the x-axis.** ### Additional Explanation: - The tables show a series of \( x \) values and their corresponding \( y \) values calculated using the specified exponential functions. Each row in the table should be calculated to show how \( x \) influences the function output, \( y \). - Neither function crosses the x-axis because exponential functions approach but never reach zero, particularly influenced by the
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