MATH 10 - UNIT 6 – LESSON 4 – FUNCTION NOTATION
FUNCTIONS UNIT
Name:____________ Block: _____ Date: _______
Warm up! Is the graph a function?
Functions & Function Notation
A function is like an input/output machine: the input can be any number in the domain (your x value or
independent variable) and the output (your y value or dependent variable) depends on the input
number.
Example:
The function = 2 + 3 in function notation is = 2 + 3. We read it as “f of x equals 2x + 3”.
Note: f(x) (“f of x”) is a name for a function of x. We can use any letter to represent the function: g(x), h(x), ...
Examples: Write in function notation.
1. = 5 + 9
2. = 4
3. = 5 − 12
Examples: Write as an equation in two variables.
1. = 4 − 5
2. = + 5 − 2
3. = 12 − 100
Value of a Function
The “value” of a function is the -value or the value of the dependent variable at a given value of (the
independent variable).
Example: Determine the value of = 5 − 2 for the following values of .
1. = 2
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2. = −1
MATH 10 - UNIT 6 – LESSON 4 – FUNCTION NOTATION
FUNCTIONS UNIT
Name:____________ Block: _____ Date: _______
Try it! Determine the value of the function = 7 + 5 for the following values of .
1. = 2
2. = −3
Take it further!
If we are given the value ( coordinate) of the function, we can use the function to determine what the
coordinate will be.
Example: Given the function = 8 − 1. What is for the following values of the function?
1. = 15
2. = 3
Try it! Given = 5, find for the following values of the function.
1. = 20
2. = 100
Take it even further!
Example: Evaluate the following expressions given the functions ℎ = −3 + 1 and = 6 − 2
1. ℎ10 + 2
4. ℎ + 2. √3
5. ℎ
Lesson 4 Homework: WS 10-6-4 “Function Notation”
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3. ℎ
6. Find if ℎ =