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
y = 3x + 2
VS.
- f(x) is the same as y
Function Notation
f(x) = 3x + 2
Write in function notation
1.y=12x-4
2
2.y= -3x +5x-12
3.y=13x+4x2-7
Using Function Notation
Example 1: Solve for f(-3) in each
of the following.
a) f(x)=5x2-2x+6
b) f(x)=2x
c) f(x)= -x2+4
You Try!!
If f(x)=2x2-6, find each function value.
A) f(-4)
B) f(0)
C)f(3)
Example 2 - Evaluate for the following
functions. f(x)=2x2-1, g(x)=-x2+4
h(x)=x2+3x
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=-4x2 +3x-7
You Try!!
Find the range if the domain is {12, -6, -8}
for f(x)=3x2 - 6
Example 4 – Find the domain if the
range is {-2, 4, 13} for f(x)=3x-5
You Try!!
Find the domain if the range is {0, -8, 4}
for f(x)=6x+10
Now begin working on
your practice!