Function Notation

Function Notation

Learning Targets

1. Use and Interpret function notation.

2. Evaluate a function for specific values of the domain.

Fill in the Blanks

Function notation is useful for evaluating functions for multiple input values.

To evaluate f(x) = 9 - 4x for x = 2, you substitute 2 for the variable x and write f(2) = 9 - 4 (2). Simplifying the expression yields f(2) = 1

To evaluate f(x) = 9 - 4x for x = 2, you substitute 2 for the variable x and write f(2) = 9 - 4 (2).

Simplifying the expression yields f(2) = 1

Now, you try!

Substitute x for 0.50 in the function

f(x) = 9 - 4x

You're Right!

f (0.50) = 9 - 4 (0.50)

f (0.50) = 9 - 2

f (0.50) = 7

(0.50 , 7)

Represent the following relation in the following ways.

inputs = 0.50, 1, 1.50, 2

outputs = 3, 4, 5, 6

a. list of ordered pairs

b. table of values

c. mapping

d. graph

Multiple Choice

Given the function f(x) = 9 - 4x , what value of x results in f(x) = 1

• 1

• 2

• 3

• 4

Open Ended

Evaluate each function for x = -5 and x = 4

a. f (x) = 2x + 7

Multiple Choice

Consider the sequence -4, -2, 0, 2, 4, 6, 8...

a. what is f(3) ?

• -4

• -2

• 4

• 0

Multiple Select

Evaluate the functions for the domain values indicated.

a. f(x) = 3x + 14 for x= -5, 0, 4

• -5, 0, 4

• -1, -14, 26

• -1, 14, 26

• 5, 0, 4

Open Ended

Use the function y = x² - 3x - 4 for the following items.

2. Evaluate the function for x = -2. Express your answers in function notation.

Fill in the Blanks

Use the function y = x² - 3x - 4 for the following items.

3. For what value of x does f(x) = -4 ?