Math  /  Calculus

QuestionDetermine the interval(s) on which the function is (strictly) increasing. Write your answer as an interval or list of intervals. When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. Click on "None" if applicable.

Studdy Solution

STEP 1

1. We are given a piecewise linear function.
2. We need to determine the interval(s) where the function is strictly increasing.
3. The function is increasing if the slope is positive over an interval.

STEP 2

1. Identify intervals where the function is increasing based on the graph.
2. Write the intervals in the correct format.

STEP 3

Examine the graph to identify intervals where the function is increasing.
From the image description, the function is increasing from x=5 x = -5 to x=3 x = -3 .

STEP 4

Continue examining the graph. The function is also increasing from x=0 x = 0 to x=2 x = 2 .

STEP 5

Combine the intervals where the function is increasing: (5,3) (-5, -3) and (0,2) (0, 2) .
The intervals where the function is strictly increasing are:
(5,3),(0,2) (-5, -3), (0, 2)

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