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Chapter 5: Q. 46 (page 284)

In Problems 41-52, use transformations to graph each function. Determine the domain, range, and horizontal asymptote of each function.

f(x)=4路13x

Short Answer

Expert verified

The graph is

and the domain and range is(-鈭�,+鈭�),(0,+鈭�)and the horizontal asymptote isy=0

Step by step solution

01

Given information

Given function f(x)=4路13x

02

Transforming and plotting the graph

The graph of y=(13)xis

03

Streching the graph by a factor of 4

The graph is

04

Calculate domain, range and asymptote

On seeing the graph, the domain and range is (-鈭�,+鈭�),(0,+鈭�)and the horizontal asymptote isy=0

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Most popular questions from this chapter

Begin with the graph of y=ex and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.

fx=-ex

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False

The function f(x)=2xx-3 hasy=2 as a horizontal asymptote.

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=2x+3x+2

solve each equation. Verify your results using a graphing utility.

3x2-7=272x

Do you think that there is a power function that increases

more rapidly than an exponential function whose base is greater than 1 ? Explain.
See all solutions

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