Functions
Function Notation
Evaluating Functions
Domain and Range
100

True or False: All functions increase and/or decrease

False

100

Write y = 5x - 10 in function notation.

f(x)=5x-10

100

Evaluate f(x) = 3x +2 for f(2) and express your answer in function notation.

f(2) = 8

100

Define domain and range of a function 

The domain is the set of input (x) values and the range is the set of output (y) values

200

If you are given a table, how do you know if it is a function?

Every input only has one output

200

In the function f(a) = 20a - 10

What is the input?

What is the name of the function?

input: a


name: f

200

Evaluate b(m) = m- 3 for b(2) and express your answer in function notation.

b(2) = 1

200

What is the domain and range of the function below?


Domain: 

-3<x<=1

Range:

-4<=y<=0

300

Do these ordered pairs represent a function?

{(2, 2), (3, 2), (4, 3), (5, 6)}

Yes

300

If f(x) = 3x and g(x) = 2x, what is f(2) * g(3)?

f(2) * g(3) = 36

300

Evaluate h(x) = 3x - 4 for h(2) and express your answer in function notation.

h(2) = 5

300

Express the domain and range of the discrete function below. 

Domain: {-6, -1, 1, 5, 7}

Range: {-4, -1, 2, 4}

400

Does the equation below represent a function? Why or why not?

f(x) = 2x - 3

Yes. Linear functions pass the vertical line test. 

400

Ms. Ferrao charges her tutoring clients $50 per hour. Use function notation to express how much money she makes tutoring for 5 hours each week.

F(5) = 250

400

Given g(x) = x2 + 2x + 1

Find g(-2)

g(-2) = 1

400

Express the domain and range in interval notation:


D: 

{3}

R: 

-oo<y<oo