Free Printable HW 1.5 & 1.6: Relations/Functions/Domain & Range

1.

What is the Domain?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

2.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

3.

What is the Domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

4.

Find the Domain.

a)

All real numbers

b)

x > 3

c)

x > 0

d)

x ≥ 0

5.

What is the Domain?

a)

-10 ≤ y ≤ 6

b)

y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All Real Numbers

6.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

7.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

8.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

9.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

10.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

11.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

12.

Where is T?

a)

(-3, -2)

b)

(-2,-3)

c)

(3,2)

d)

(-3,2)

13.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

14.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

15.

a)

Function

b)

Not a Function

16.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

17.

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

c)

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

18.

What is the domain of the graphed linear function?
closed circle: $\le or\ge$
open circle: $<or>$

a)

$-6<x<5$

b)

$-6\le x\le5$

c)

$-8\le y\le8$

d)

$-8<y<8$

19.

What is the range of the graphed linear function?
closed circle: $\le or\ge$
open circle: $<or>$

a)

$-6<x<5$

b)

$-6\le x\le5$

c)

$-8\le y\le8$

d)

$-8<y<8$

20.

Identify all of the functions

a)

b)

c)

d)

e)

21.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

22.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

23.

a)

f(-2) = -1

b)

f(-2) = -9

c)

f(-2) = 9

d)

f(-2) = 0

24.

Evaluate r(3)

a)

r(3) = 16

b)

r(3) = 12

c)

r(3) = 13

d)

r(3) = 0

25.

Given that h(x)=x³-2, evaluate h(4)

a)

62

b)

10

c)

64

d)

12

26.

If $g\left(x\right)=3x^2-5$ , what is the value of $g\left(-2\right)$ ?

a)

$-11$

b)

$-17$

c)

$7$

d)

$1$

27.

Given $h\left(x\right)=-2\left(x+5\right)^2$ , what is the value of $h\left(7\right)$ ?

a)

$-140$

b)

$-48$

c)

$-8$

d)

$-288$

28.

If $f\left(x\right)=\frac{1}{2}\left(x+5\right)-3$ , find $f\left(-9\right)$ .

a)

$4$

b)

$-5$

c)

$-10$

d)

$8$

29.

What is the RANGE of this graph?

a)

-7 < x < 5

b)

-7 ≤ y < 5

c)

-3 < x < 1

d)

-3 ≤ y < 1

30.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

31.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

32.

What is the Range?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

33.

What is the Domain?

a)

y ≥ 6

b)

-10 ≤ y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All real numbers

34.

What is the RANGE?

a)

0 ≤ x < 3

b)

0 < y ≤ 3

c)

-2 ≤ y < 1

d)

-2 ≤ y ≤ 1

35.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

HW 1.5 & 1.6: Relations/Functions/Domain & Range

Total questions: 35

Worksheet time: 9hrs 45mins

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