Free Printable Topic 1 Test Review

1.

Find the domain and range of the relation.

a)

domain: $\left\{-1,\ -\frac{1}{2},\ \ \ \frac{3}{2},\ \ 2\right\}$
range: $\left\{\frac{1}{2},\ -1,\ \ \ 0,\ \ \ \frac{3}{2}\right\}$

b)

domain: $\left\{-1,-\frac{1}{2},\ \ \frac{3}{2},\ \ 2\right\}$
range: $\left\{-1,\ \ \ 0,\ \ \frac{1}{2},\ \ \frac{3}{2}\right\}$

c)

domain: $\left\{-1,-\frac{1}{2},\ \ \ 2,\ \ \frac{3}{2}\right\}$
range: $\left\{-1,\ \ \ 0,\ \ \frac{1}{2},\ \ \frac{3}{2}\right\}$

d)

domain: $\left\{-1,\ \ \ 0,\ \ \ \frac{1}{2},\ \ \frac{3}{2}\right\}$
range: $\left\{-1,-\frac{1}{2},\ \ 2,\ \ \ \frac{3}{2}\right\}$

2.

Is the relation a function? $\left\{\left(1,\ 3\right),\left(7,\ 8\right),\left(10,\ 2\right),\left(12,\ 5\right),\left(6,\ 4\right)\right\}$

a)

Yes

b)

No

c)

Not enough information

3.

Is the relation a function? $\left\{\left(0,\ 8\right),\left(2,\ 6\right),\left(17,\ 5\right),\left(2,\ 4\right),\left(7,\ 3\right)\right\}$

a)

Yes

b)

No

c)

Not enough information

4.

Is the relation a function? $\left\{\left(0,\ 2\right),\left(3,\ 5\right),\left(13,\ 8\right),\left(1,\ 5\right),\left(7,\ 9\right)\right\}$

a)

Yes

b)

No

c)

Not enough information

5.

Use the vertical-line test to determine whether the graph represents a function.

a)

Yes

b)

No

c)

Not enough information

6.

Use the vertical-line test to determine whether the graph represents a function.

a)

Yes

b)

No

c)

Not enough information

7.

Use the vertical-line test to determine whether the graph represents a function.

a)

Yes

b)

No

c)

Not enough information

8.

Use the vertical-line test to determine whether the graph represents a function.

a)

Yes

b)

No

c)

Not enough information

9.

Graph the linear function $f\left(x\right)=3x-1$ and find the maximum on the interval $\left[-3,\ 4\right]$ .

a)

maximum: 11

b)

maximum: -10

c)

maximum: -9

d)

maximum: 12

10.

Graph the function $f\left(x\right)=\sqrt{x+2}$ and find the maximum and minimum values on the interval $\left[2,\ 7\right]$ .

a)

maximum: 9
minimum: 4

b)

maximum: 3
minimum: 0

c)

maximum: 7
minimum: 2

d)

maximum: 3
minimum: 2

11.

This is the graph of $f\left(x\right)=\frac{1}{x}$ . What are the domain and range of this function?

a)

domain: $-\infty<x<0$ and $0<x<\infty$
range: $-\infty<y<0$ and $0<y<\infty$

b)

domain: $-\infty<x<\infty$
range: $-\infty<y<\infty$

c)

domain: $0<x<\infty$
range: $0<y<\infty$

d)

domain: $-\infty<x<0$
range: $-\infty<y<0$

12.

Find the minimum and maximum values of $f\left(x\right)=\frac{1}{x}$ on the interval $\left[-4,\ -0.5\right]$ .

a)

maximum: $-4$
minimum: $-0.5$

b)

maximum: $-0.5$
minimum: $-4$

c)

maximum: $-0.25$
minimum: $-2$

d)

maximum: $-2$
minimum: $-0.25$

13.

Let $f\left(x\right)=2x+4$ and $g\left(x\right)=x-7$ . Find $f\left(x\right)-g\left(x\right)$ .

a)

$x-3$

b)

$x+11$

c)

$x-11$

d)

$3x-3$

14.

Let $f\left(x\right)=4x-3$ and $g\left(x\right)=8-x$ . What is $f+g$ and what is its domain?

a)

$\left(f+g\right)\left(x\right)=2x+2$
The domain of $f+g$ is the set of all real numbers except $x\ne0$ .

b)

$\left(f+g\right)\left(x\right)=3x+5$
The domain of $f+g$ is the set of all real numbers except $x\ne0$ .

c)

$\left(f+g\right)\left(x\right)=2x+2$
The domain of $f+g$ is the set of all real numbers.

d)

$\left(f+g\right)\left(x\right)=3x+5$
The domain of $f+g$ is the set of all real numbers,

15.

Find an equation for the inverse of the function $f\left(x\right)=\frac{4}{3}x-\frac{2}{5}$ .

a)

$f^{-1}\left(x\right)=\frac{3}{4}x+\frac{3}{10}$

b)

$f^{-1}\left(x\right)=\frac{3}{4}x-\frac{3}{10}$

c)

$f^{-1}\left(x\right)=\frac{3}{10}x+\frac{3}{4}$

d)

$f^{-1}\left(x\right)=-\frac{3}{4}x-\frac{3}{10}$

Topic 1 Test Review

Total questions: 15

Worksheet time: 39mins

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