Solving Polynomial and Rational Inequalities

Practice Questions

Pre-Calculus › Solving Polynomial and Rational Inequalities

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1

Which of the following is a graph of the function:

$\frac{x^{2}+10x+25}{x-2}$

2

Which of the following is a graph of the function:

$\frac{x^{2}+10x+25}{x-2}$

3

Which of the following best describes the statement:

The undefined points of rational functions are vertical asymptotes.

4

True or False: For the inequality , is a potential value for .

5

Which of the following best describes the statement:

The undefined points of rational functions are vertical asymptotes.

6

Solve and graph:

$\frac{3}{x - 2} < 1$

7

Determine the zeros of the following function and the points where the function will be undefined.

$\frac{x^{2}-4x+4}{x^{2}-25}$

8

Solve the inequality.

$\frac{3x^2-5x+4}{x+1}\leq2$

9

Solve the inequality.

$\frac{3x^2-5x+4}{x+1}\leq2$

10

Determine the zeros of the following function and the points where the function will be undefined.

$\frac{x^{2}-4x+4}{x^{2}-25}$

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