A1- 3.3 Function Notation

Understanding Function Notation

Warm Up

Solve the problems on the next slides using your prior knowledge.

Multiple Choice

Find the value of y in the equation $$y=4x-1$$ when $$x=2$$

• 4

• 5

• 7

• 0

Function Notation

What is it?

Function notation is a specific notation used to represent a relationship between an input and an output.

Function Notation

What it looks like

A function can be thought of as a machine that assigns one output to every input.

VOCABULARY

Function Notation: a specific way to write a relation when it is a function. When you see a relation written in function notation you know right away that it is a function.

General Function Notation: f(x)

Said out loud: "f of x"

Example: y = 3x + 2 is a relation.

It is ALSO a function.

So it can be written as f(x) = 3x + 2

Drag and Drop

A function can be thought of as a ​

Placeholder

that assigns one ​

Placeholder

to every ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

machine

output

input

Let's take a closer look

​Read and analyze the diagram.

Multiple Choice

Find $$f\left(-3\right)$$

• -2

• 10

• 8

• no solution

Multiple Choice

Find $$f\left(-2\right)$$

• f(x) = 9

• f(x) = -9

• f(x) = -15

• f(x) = 21

EXAMPLE​

​Given f(x) = 4x - 9, find f(2)

Multiple Choice

Find f(10). If f(x)= -4x -10

• x = -5

• x = 40

• x = -40

• x = -50

Dropdown

In the graph f(0) =​ ​

Select answer

Dropdown

The graph represents the function $$g\left(x\right)$$ . Using the graph I can determine that $$g\left(-2\right)$$ is ​

Select answer