1. Evaluating Functions Domain and Range
Lesson 82
Evaluating Functions
Domain and Range

2. Example 82.1 (Review)
If f(x) = x2 + x – 10, find f(5).

3. Example 82.2
If h(x) = x2 + x + 1, find h(a2).

4. Example 82.3
If f(x) = x2 + 1, find f(x + 2).

5. Domain and Range
Function: the mapping from the domain to the range (ordered pairs)
Domain: the x values of a function
Range: the y-values of a function
To find the domain and range, graph the function.

6. Example 82.4
If f(x) = 2x, find the domain and range of the function.

7. Example 82.5
If f(x) = 3, find the domain and range of the function.

8. Example 82.6
If the graph of a function f is shown, determine the domain and range of f.

9. Finding domain of a function
Even-powered roots (square roots) cannot equal negative numbers
Denominators cannot be equal to zero
This information will help you determine what is NOT in the domain/range.

10. Example 82.7
Find the domain of the function:

11. Example 82.8
Find the domain of the function: