Free Printable Rational Functions Test Review

1.

What is the solution of the following?

\frac{x-7}{x-1}<0

a)

x<1 or x>7

b)

x>7

c)

1<x<7

d)

All real numbers

2.

Which statement best describes the graph of

\frac{x^2-9}{2x-6}?

a)

The graph has a vertical asymptote at x=3

b)

The graph has no vertical asymptote

c)

The graph has a vertical asymptote at x=-3

d)

The graph has vertical asymptotes at x=3 and x=-3

3.

Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?

a)

b)

c)

d)

4.

Which of the following equations represents the graph?

a)

f\left(x\right)=\frac{4}{x}

b)

$f\left(x\right)=-\frac{4}{x}$

c)

$f\left(x\right)=\frac{x}{4}$

5.

The equation below shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?

D\ =\ \frac{13}{V}

a)

The density approaches 0.

b)

The density approaches 1.

c)

The density approaches 13.

d)

The density approaches infinity.

6.

What is the solution to the following equation?

\frac{x}{x-4}-\frac{4}{x+4}=\frac{32}{x^2-16}

a)

x =-4, x = 4

b)

x = 0

c)

All Real Numbers

d)

No Solution

7.

Jaisal can mow a lawn in 30 minutes. Sarah takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together in minutes.

\frac{1}{30}+\frac{1}{60}=\frac{1}{t}

(a)

8.

What is the difference of the following?

\frac{x}{x^2-4}-\frac{5}{x-2}

a)

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

b)

$\frac{-2\left(x+5\right)}{\left(x+2\right)\left(x-2\right)}$

c)

$\frac{x-5}{\left(x^2-4\right)-\left(x-2\right)}$

d)

$\frac{x-5}{x^2-4}$

Rational Functions Test Review

Total questions: 8

Worksheet time: 12mins

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