Section 2.3 – Analyzing Graphs of Functions

Zeros of a Function

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)

Increasing – Decreasing – Constant – Increasing – Decreasing – Constant – none none

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

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

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

Odd Even Neither Odd

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

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

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

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.

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