Question

write your answers for letters a through f as ordered pairs.
a) absolute maximum: (-1.082,30.041)
b) local maximum: (-1.082,30.041)
c) absolute minimum: (1.082,30.041)
d) local minimum: (1.082,30.041)
e) x - intercepts: (-3,0),(2,0),(4,0)
f) y - intercept: (0,24)
g) how many increasing intervals does the graph have?
h) how many decreasing intervals does the graph have?

Explanation:

Step1: Identify increasing intervals

Observe where graph rises.

Step2: Count increasing intervals

From the graph, we can see the graph is increasing from negative - infinity to - 1.082 and from 3.082 to positive - infinity. So there are 2 increasing intervals.

Step3: Identify decreasing intervals

Observe where graph falls.

Step4: Count decreasing intervals

The graph is decreasing from - 1.082 to 3.082. So there is 1 decreasing interval.

Answer:

g) 2
h) 1