November 15, 2012Function notation

Warm-up:1. Is the relation {(3, 4), (-1, 2), (2, 4), (-2, 5) a

function?2. Determine the domain and range of the

relation.3. What is the inverse of the relation?

HW 4.6: Functions WS F block Partner Quiz FridayA block Partner Quiz Monday

Lesson 4.6: FunctionsAnother way to determine whether a relation is

a function is the Vertical Line Test.The Vertical Line Test - If a vertical line touches the graph only once, then it is a function .

Ex 1. Ex 2.

y

x

5

5

-5

-5

y

x

5

5

-5

-5

Practice – Determine whether the relation is a function.

y

x

5

5

-5

-5

1.2.

Function Notation – another way to evaluate an expression.f(x) “f of x”

The f is just the name of the function. It is not a variable that is multiplied by x.Example 3: If f(x) = 2x – 1, find f(4)

Substitute x = 4, then simplify.

PracticeIf f(x) = -2x + 5 and g(x) = x2 – 8, find each value.

1. f(-4) 2. f(8)

3. g(8) 4. g(-5)

5. f(x + 3) 6. g(2) + 3