Answered: Functions of the form f(x) = 5 · bkx…

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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Question

Functions of the form

f(x) = 5 · b^kx for k = ±1

will be examined to study the effect of the parameter b on the graph.

(a)

Graph the function

f(x) =5 · 2^x.

Use the graph to determine the y-values at x-values of −2, −1, 0, 1, and 2.

For every increase of 1 in the x-value, the y-value can be found from the previous y-value by ---Select--- the addition of a constant multiplication by a constant . The constant is equal to .

(b)

Graph the function

f(x) = 5 · 0.5^x.

Use the graph to determine the y-values at x-values of −2, −1, 0, 1, and 2.

For every increase of 1 in the x-value, the y-value can be found from the previous y-value by ---Select--- the addition of a constant multiplication by a constant . The constant is equal to .

(c)

Graph the function

f(x) = 5 · 2^−x.

Use the graph to determine the y-values at x-values of −2, −1, 0, 1, and 2.

For every increase of 1 in the x-value, the y-value can be found from the previous y-value by ---Select--- the addition of a constant multiplication by a constant . The constant is equal to .

(d)

Graph the function

f(x) = 5 · 0.5^−x.

Use the graph to determine the y-values at x-values of −2, −1, 0, 1, and 2.

For every increase of 1 in the x-value, the y-value can be found from the previous y-value by ---Select--- the addition of a constant multiplication by a constant . The constant is equal to .

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