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Chapter 4: Q. 38 (page 225)

Graph each rational function using transformations.

R(x)=1x-1+1

Short Answer

Expert verified

The graph of the rational function is

Step by step solution

01

Step 1. Given information

Given rational expression

R(x)=1x-1+1

02

Step 2. Write the concept

Graphing a rational expression using transformations involves checking for domains of the expression which allows us to know where the exact position of the graph lies.

Also, we need to check different points where the value of R(x)does not exist.

03

Step 3. Graphing the given expression

GivenexpressionR(x)=1x-1+1thedomainofthefunctionincludesR-{1}As.onx=1thevalueofR(x)doesnotexist.

Therefore first we construct the graph of R(x)=1x

Now we replace xwithx-1i.e.

And finally, add 1 to the given expression gives us

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Most popular questions from this chapter

In Problems 21鈥�32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

f(x)=x5-x4+2x2+3

In Problems 21鈥�32, determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

f(x)=3x4-3x3+x2-x+1

True or False. If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients give rise to the horizontal asymptote.

x3+2x2-3x>0

Solve the inequality algebraically.

x3+2x2-3x>0
See all solutions

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