Functions can be written in function notation such as f(x)=mx+b, where f(x) represents the linear equation mx+b with x as the variable. The parentheses indicate that the variable x in the equation will be replaced by the number written inside the parentheses. For example, if evaluating f(2), x would be replaced with 2. Other letters besides f can also be used to represent functions. The domain of a function is the x-values, while the range is the y-values or f(x)-values produced by inputting x-values into the function.

1. 4.7
Objective: Use function notation

2. Function Notation
• y=mx+b can be written as f(x)=mx+b or “f of x”
= mx+b
• Purpose: to be more specific about what variable
the equation is a function of. F(x) means we will
be replacing the “x” in the equation with the
number placed in the parentheses.
• The parentheses do not mean f times x.
• Other letters may be used such as g(x)=mx+b for
other functions.

3. Practice

4. Practice

5. Find an x value

6. Graphing functions
• Domain = x
• Range = f(x)
x f(x)

7. Family of functions

8. Compare graphs of functions
y
x