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Chapter 4: Q. 7 (page 224)

If, as x approaches some number c, the values of R(x)鈫�鈭�, then the line x=c is a ________ _________ of the graph of R.

Short Answer

Expert verified

If, as x approaches some number c, the values of R(x)鈫�鈭�,then the line x=c is a Vertical Asymptote of the graph of R.

Step by step solution

01

Step 1. Definition

Vertical Asymptote

A vertical Asymptote is a horizontal line to which a graph of a function approaches as f(x)鈫�鈭�but the graph of the function never touches that line.

02

Step 2. clarification 

vertical Asymptote is a vertical line that represents the zero of the denominator of a rational function so a graph of function approach toward it asf(x)鈫�鈭�but never touch it.

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Most popular questions from this chapter

In Problems 39鈥�56, find the real zeros of f. Use the real zeros to factor f.

f(x)=2x4+11x3-5x2-43x+35

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 57鈥� 62, find the real zeros of f. If necessary, round to two decimal places.

f(x)=x4+1.2x3-7.46x2-4.692x+15.2881

Write a few paragraphs that provide a general strategy for graphing a polynomial function. Be sure to mention the following: degree, intercepts, end behavior, and turning points.

Find the domain of the rational function.

Rx=xx4-1
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