Functions

Functions and Vertical Line Test

Multiple Choice

Warm-Up:

1.) Solve 2(c – 5) – 2 = 8.

• c = 4

• c = -4

• c = 10

• c = 1-

Multiple Choice

Warm-Up:

2.) Find the slope of the line that passes through (5, 7) and (–1, 0).

• -6/7

• 6/7

• -7/6

• 7/6

What you'll learn today:

• Determine if a relation is a function.

• Find the value of a function.

Functions

• A function is a relation in which each element of the domain is paired with exactly one element of the range.

• Another way of saying it is that there is one and only one output (y) with each input (x).

FUNCTION NOTATION

Multiple Select

Determine whether each relation is a function.

• YES, every range is unique!

• YES, every domain is different!

Multiple Choice

Determine whether the relation is a function.

{(4, 1), (5, 2), (5, 3), (6, 6), (1, 9)}

• YES,

  5 is paired with 2 numbers!

• NO,

  5 is paired with 2 numbers!

Multiple Select

Is this relation a function?

{(1,3), (2,3), (3,3)}

• Yes

• No

Vertical Line Test

• If any vertical line passes through more than one point of the graph, then that relation is not a function.

Multiple Select

Is this FUNCTION? Use Vertical Line Test.

• Yes

• No

Multiple Select

Is this a function or not?

• Yes

• No

Multiple Select

Use Vertical Line Test if it's a function or not.

• Yes

• No

Multiple Choice

Given f(x) = 3x - 2, find f(3).

• 5

• 6

• 7

• 8

Multiple Choice

Given f(x) = 3x - 2, find f(-2).

• 8

• -8

• 9

• -9

Fill in the Blank

Given h(z) = z2 - 4z + 9, find h(-3).

Fill in the Blank

Given g(x) = x2 – 2, find g(4).

Fill in the Blank

Given f(x) = 2x + 1, find

-4[f(3) – f(1)]