Section 2.3 – Analyzing Graphs of Functions

1. Section 2.3 – Analyzing Graphs of Functions

2. Zeros of a Function

3. Increasing – Decreasing – Constant – Determine the intervals over which the function is a) increasing b) decreasing c) 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 even odd

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

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. Even Odd Odd Neither

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.