Question

A function is shown in the table. x g(x) −2 2 −1 −3 0 2 1 17 Which of the following is a true statement for this function? (5 points)

Answer 1

We have the following function:

x g(x)

−2 2

−1 −3

0 2

1 17

And the following statements:

(A)The function is increasing from x = −2 to x = −1.

(B)The function is increasing from x = 0 to x = 1.

(C)The function is decreasing from x = −1 to x = 0.

(D)The function is decreasing from x = 0 to x = 1.

Option A is false. Because from x=-2 to x=-1, the function is degresing given that for x=-2, g(x) = 2 and for x=-1 the value of g(x) decreases.

Option C is false. Because from x=-1 to x=0 the value of g(x) goes from -3 to 2. Therefore it increases.

Option D is false. from x=0 to x=1 the value of g(x) goes from 2 to 17. Therefore it increases.

The correct answer is OPTION B.