1. Section 2.3 – Analyzing Graphs of Functions

2. Zeros of a Function

3. Determine the intervals over which the function is
a) increasing b) decreasing c) constant
Increasing –
Decreasing –
Constant –
Increasing –
Decreasing –
Constant –
(-6, -2), (5, 7)
(-7, -5), (1, 7)
(-2, 1)
(-5, -2)
(2, 5)
(-2, 1)

4. Increasing –
Decreasing –
Constant –
Increasing –
Decreasing –
Constant –
none
none

5. Determine the intervals over which the function is
a) even b) odd c) neither
odd
even

6. Determine the intervals over which the function is
a) even b) odd c) neither
odd
even

7. Determine the intervals over which the function is
a) even b) odd c) neither
Even Function – f(-x) = f(x)
Odd Function – f(-x) = -f(x)
Even
Odd
Neither

8. Odd
Even
Neither
Odd

9. Given the function below:
Determine where the relative maximum and
minimum values exist
b) Determine the relative maximum and minimum values.

10. There is a minimum at x = 3.230
The minimum value is –9.236

11. There is a maximum at x = 0.103
The maximum value is 6.051

12. Since f(x) is even, there is a minimum at x = -1.225 and x = 1.225
The minimum value is –1.5.
There is a maximum at x = 0.
The maximum value is 3.

13. There is no maximum value.
There is a minimum at x = 3.
The minimum value is 0.