1. Lesson 3.3 Function Notation

2. represents the variable 𝒚.
Functional Notation
An equation that is a function may be expressed using functional notation.
The notation 𝒇(𝒙)
(read “𝒇 of (𝒙)”)
represents the variable 𝒚.

3. Functional Notation Cont’d
Example:
y = 2x + 6 can be written as f(x) = 2x + 6.
Given the equation y = 2x + 6
evaluate when x = 3.

4. Functional Notation Con’t
For the function f(x) = 2x + 6, the notation f(3)
means that the variable x is replaced with the
value of 3.
f(x) = 2x + 6

5. Evaluating Functions 𝒇(𝟐) 2. 𝒇(𝒂 +𝟏) 3. 𝒇(−𝟒𝒂)
Given 𝒇(𝒙) = 4x + 8, find each:
𝒇(𝟐)
2. 𝒇(𝒂 +𝟏)
3. 𝒇(−𝟒𝒂)

7. Given 𝒇(𝒙) =𝟑𝒙 + 𝟖, determine 𝒙 when:
Given 𝑓(𝑥), determine the value for 𝑥 In this case substitute the value for 𝑦
Given 𝒇(𝒙) =𝟑𝒙 + 𝟖, determine 𝒙 when:
𝑓(𝑥) = 2
𝑓 (𝑥) = −4

9. Evaluating More Functions
If 𝒇(𝒙) = 3𝑥  1, and 𝒈(𝒙) = 5𝑥 + 3, find each:
f(2) + g(3)
f(4) - g(-2)
f(1) + 2g(2)