Free Printable Relations and functions Test Part 1 MC

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

a)

A

b)

B

c)

C

d)

D

24.

In the equation of the line 2y=3x+5, the y intercept of the line is:

a)

5

b)

3

c)

$\frac{3}{2}$

d)

$\frac{5}{2}$

25.

The equation of a line that passes through (2,3) and has a gradient of 3 is:

a)

y=3x+2

b)

y=2x+3

c)

y=3x-3

d)

y=3x-2

26.

The equation of a line that passes through the point (0,0) and has a gradient of 1 is:

a)

y=1x+1

b)

y=x

c)

y=1/x

d)

y=x-1

27.

The line that passes through the points (2,3) and (5,-2) is:

a)

$y=\frac{5}{3}x-\frac{19}{3}$

b)

$y=-\frac{5}{3}x+\frac{19}{3}$

c)

$y=-\frac{5}{3}x-\frac{19}{3}$

d)

$3y=5x+19$

28.

A line has a gradient of 1/2, what is the equation of a second line passing through the point (2,3) and is perpendicular to the first line?

a)

$y=-2x+7$

b)

$y=\frac{1}{2}x+7$

c)

$y=\frac{1}{2}x-7$

d)

$y=3x+2$

29.

A line has a gradient of 5 and is parallel to a second line that passes through (0,10). What is the equation of the second line?

a)

$y=-\frac{1}{5}x-10$

b)

$y=\frac{1}{5}x+10$

c)

$y=5x+10$

d)

$y=5x-10$

30.

The Horizontal line test is used to:

a)

Determine if a relation is a function or not

b)

Determine if a function has an inverse function or not

c)

Determine the Inverse of a function

d)

Determine the Gradient of a function

31.

$g\left(x\right)=x^2+7,\ What\ is\ the\ domain\ of\ the\ function?$

a)

$\left\{xER:x\ne7\right\}$

b)

$\left\{xER:\ x\ge\sqrt{7}\right\}$

c)

$\left\{xER\right\}$

d)

$\left\{xER:x\ge7\right\}$

32.

$g\left(x\right)=x^2-16,\ what\ is\ g^{-1}\left(x\right)?$

a)

$x^3+16$

b)

$\sqrt{x+16}$

c)

$\sqrt{x}+16$

d)

$\sqrt{x^2+16}$

33.

$h\left(x\right)=3x+5\ and\ f\left(x\right)=3x^2\ what\ is\ f\left(h\left(x\right)\right)?$

a)

$27x^2+30x+25$

b)

$9x^2+30x+25$

c)

$27x^2+90x+75$

d)

$9x^2+5$

34.

$f\left(x\right)=2x^2\ and\ g\left(x\right)=x-5,\ what\ is\ g\left(f\left(x\right)\right)?$

a)

$2x^2-5$

b)

$2\left(x-5\right)^2$

c)

$2x^2-20x+50$

d)

$2x-5$

35.

$If\ f\left(x\right)=x^2-1,\ what\ is\ the\ Range\ of\ the\ f\left(x\right)?$

a)

$\left\{yER:\ y\ne1\right\}$

b)

$\left\{yER:y\ge1\right\}$

c)

$\left\{yER:y\ge-1\right\}$

d)

$\left\{yER:\ y\ne-1\right\}$

Relations and functions Test Part 1 MC

Total questions: 35

Worksheet time: 18mins

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