Question

1. Determine the intervals for which the function shown is:(not multiple choice)

a. increasing
b. decreasing
c. constant.
Fully explain the basis for each answer

Answer 1

Dear Mate,

your answer is

a = (-1, 2 )

b = (-4 , -1 )

c = (2, 5 )

Answer 2

9514 1404 393

Answer:

a) (-1, 2)

b) (-4, -1)

c) (2, 5)

Explanation:

a) "Increasing" means points to the right are higher. This is the case for points in the interval from x = -1 to x = 2. In interval notation, the function is increasing in (-1, 2).

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b) "Decreasing" means points to the right are lower. This is the case for points in the interval from x = -4 to x = -1. In interval notation, the function is decreasing in (-4, -1).

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c) "Constant" means points to the right have the same value. This is the case for points in the interval from x = 2 to x = 5 (or higher). In interval notation, the function is constant in (2, 5).