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Functions Lesson 1 Intro to Functions

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

What type of function is this?

a)

Cubic

b)

Square Root

c)

Absolute Value

d)

Quadratic

2.

What is the domain and range of this graphed function?

a)

D:x≥−4

R:y≥0

b)

D:x>−4

R:y>0

c)

D:x<−4

R:y<0

d)

D:y≤−4

R:y≤0

3.

Write the interval notation for this inequality shown on the number line.

a)

[−2,∞]

b)

(∞,−2]

c)

[−2,∞)

d)

(−2,∞]

4.

Evaluate:

 f(6)=x3f\left(6\right)=x^3  

a)

2

b)

18

c)

729

d)

216

5.

Write the interval notation for this number line.

a)

[−3, ∞]\left[-3,\ \infty\right]

b)

(−3, 1)\left(-3,\ 1\right)

c)

[−3, 1]\left[-3,\ 1\right]

d)

(−∞, 1)\left(-\infty,\ 1\right)

6.

What type of function is this?

a)

Quadratic function broken into three pieces.

b)

linear and exponential on one graph

c)

Piecewise function

d)

square root and linear on one graph

7.

This is a Function.

a)

True

b)

False

8.

The table represents a function.

a)

True

b)

False

9.

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}

d)

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

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

10.

The graph does not represent a function.

a)

True

b)

False

11.

The graph represents a function.

a)

True

b)

False

12.

The mapping represents a functions.

a)

True

b)

False

13.

Nike used packing boxes to ship four orders to retail stores. The number of packing boxes needed to transport the pairs of shoes is a function of the number of pairs ordered for each delivery. This function only consists of the ordered pairs (44, 3), (60, 4), (72, 5), and (88, 6). What is the range for this situation?

a)

{44, 60, 72, 88}

b)

{44, 88}

c)

{3, 4, 5, 6, 44, 60, 72, 88}

d)

{3, 4, 5, 6}

14.

What is the range of the scatter plot?

a)

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

b)

(-1, -3, -2)

c)

{-3, -2, -1}

d)

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

15.

What is the Domain of the function?

a)

all Real numbers

b)

[0, ∞)\left[0,\ \infty\right)

c)

[0, ∞]\left[0,\ \infty\right]

d)

(80, 180)\left(80,\ 180\right)

16.

Find the range of the graph below.

a)

−2≤x≤4-2\le x\le4


b)

−2≤y<4-2\le y<4

c)

−3≤x≤4-3\le x\le4

d)

−2<y<4-2<y<4

17.

Which set of values is a function?

a)

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

b)

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

c)

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

d)

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

18.

The table represents a function.

a)

True

b)

False

19.

Is this a function?

a)

Yes

b)

No

20.

Which mapping diagram is not a function?

a)
b)
c)
d)

none of these

21.

What is a function?

a)

A relation that maps every domain value to exactly one range value.

b)

A relation that maps every range value to exactly one domain value.

c)

Any set of ordered pairs.

d)

Any graph of x and y values.

22.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

23.

Is this a function?

a)

Yes

b)

No

24.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

7

c)

1

d)

-5

25.

If f(x) = -4x - 5 and g(x) = 3 - x,

what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

10