Function Notation Warm Up As you walk in

Function Notation

Warm – Up!! As you walk in, please pick up your calculator and begin working on the warm-up! 1. What is the domain and range? 2. Select 4 points from the graph and draw a mapping. 3. Is this a function?

Function Notation • When an equation represents a function, you can write the equation in function notation using f(x) ***Function of X (equation, function notation) Equation VS. y = 3 x + 2 - f(x) is the same as y Function Notation f(x) = 3 x + 2

Write in function notation 1. y=12 x-4 2 2. y= -3 x +5 x-12 3. y=13 x+4 x 2 -7

Using Function Notation Example 1: Solve for f(-3) in each of the following. a) f(x)=5 x 2 -2 x+6 b) f(x)=2 x c) f(x)= -x 2+4

You Try!! If f(x)=2 x 2 -6, find each function value. A) f(-4) B) f(0) C)f(3)

Example 2 - Evaluate for the following functions. f(x)=2 x 2 -1, g(x)=-x 2+4 h(x)=x 2+3 x A) f(-2) B) h(4) C) g(1) D) f(4) E) g(5) F) h(-6)

Example 3 - Find the range if the domain is {-1, 7, 2} for fx=-4 x 2 +3 x-7

You Try!! Find the range if the domain is {12, -6, -8} for f(x)=3 x 2 - 6

Example 4 – Find the domain if the range is {-2, 4, 13} for f(x)=3 x-5

You Try!! Find the domain if the range is {0, -8, 4} for f(x)=6 x+10

Now begin working on your practice!