Free Printable Calculus

1.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

2.

Which mapping diagram is not a function?

a)

b)

c)

d)

3.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

4.

Domain of the function $f\left(x\right)=5x^4+3x^3+4x+7$

a)

$\left[0,\infty\right)$

b)

R because f is a polynomial function

c)

$\left(0,\infty\right)$

d)

none of these

5.

Domain of $f\left(x\right)=\sqrt{x+2}\ \ is$

a)

$\left[0,\infty\right)$

b)

$\left(0,\infty\right)$

c)

All real numbers

d)

$\left[-2,\ \infty\right)$

6.

$f\left(x\right)=\sqrt{25-x^2}\ \$
Domain of f(x) is

a)

$\left[5,\infty\right)$

b)

$\left[0,\infty\right)$

c)

All real numbers

d)

$\left[-5,5\right]$

7.

Given: $f\left(x\right)=2x+4\ \$ and $g\left(x\right)=8x^{2\ }-2x+1$
Find: $\left(f+g\right)\left(x\right)$

a)

$8x^2+4x+5$

b)

$8x^2+4$

c)

$8x^2-4x+1$

d)

$8x^2+5$

8.

Given: $f\left(x\right)=x^2+4x+3$ and $g\left(x\right)=x+1$
Find: $\left(\frac{f}{g}\right)\left(x\right)\$

a)

$\frac{1}{x+3},\ x\ne-3,-1$

b)

$x+3,\ x\ne-1$

c)

$x^2+5x+4$

d)

$x-3,\ x\ne-1$

9.

Given: $f\left(x\right)=4x\ +5$ and $g\left(x\right)=x+5$
Find: $\left(f-g\right)\left(x\right)$

a)

$5x$

b)

$5x+10$

c)

$3x+10$

d)

$3x$

10.

Given: $f\left(x\right)=\sqrt{x+6}$ and $g\left(x\right)=x^3-1$
Find: $\left(f\cdot g\right)\left(-2\right)$

a)

$-16$

b)

$-18$

c)

$18$

d)

$14$

11.

What is the range of the following graph?

a)

-5, -1, 0 , 1, 5

b)

-4, -2, 0, 3, 6

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

12.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

13.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values

b)

Yes, because each x-value has only one y-value

c)

No, because the x-value 11 has two y-values

d)

No, because each x-value has only one y-value

14.

Is the relation a function?

a)

Function

b)

Not a Function

15.

a)

Function

b)

Not a Function

16.

a)

Function

b)

Not a Function

17.

a)

Function

b)

Not a Function

18.

What is the range?

a)

{-7, -5, 2, 3, 7}

b)

{-7, 7}

c)

{1, 2, 3, 4, 5}

d)

{1, 5}

19.

Which graph represents a function?

a)

F

b)

G

c)

H

d)

J

20.

Which relation represents a function?

a)

A

b)

B

c)

C

d)

D

Calculus

Total questions: 20

Worksheet time: 26mins

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