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Chapter 4: Q. 41 (page 225)

Graph each rational function using transformations.

R(x)=x2-4x2

Short Answer

Expert verified

The graph for the given rational expression is

Step by step solution

01

Step 1. Given information

Given rational expression

R(x)=x2-4x2

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)=x2-4x2thedomainofthefunctionincludesR-{0}As.onx=0thevalueofR(x)doesnotexist.

Therefore first we construct the graph of R(x)=1x2

Now multiply the entire rational expression with x2-4therefore,

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Most popular questions from this chapter

In Problems 7-44, follow Steps 1through 7 on page 228to analyze the graph of each function.

G(x)=x3+1x2+2x

In Problems 49鈥� 60, for each polynomial function:

(a) List each real zero and its multiplicity.

(b) Determine whether the graph crosses or touches the x-axis at each x-intercept.

(c) Determine the maximum number of turning points on the graph. (d) Determine the end behavior; that is, find the power function that the graph of f resembles for large values of |x|

f(x)=3(x-7)(x+3)2

Find f(-1)if,

f(x)=2x2-x

Solve the inequality algebraically.

x4<9x2

If a rational function is proper, then______ is a horizontal

asymptote.
See all solutions

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