Question

Question 1(Multiple Choice Worth 5 points) (09.01 LC) A function is shown in the table. x g(x) −3 17 −1 −3 0 −4 2 13 Which of the following is a true statement for this function? The function is increasing from x = −3 to x = −1. The function is increasing from x = −1 to x = 0. The function is decreasing from x = 0 to x = 2. The function is decreasing from x = −3 to x = −1.

Answer 1

The statement which is true for the given function g(x) is:

The function is decreasing from x = -3 to x = -1.

Explanation:

The table for values of the function g(x) is given by:

x g(x)

-3 17

-1 -3

0 -4

2 13

By looking at the table of values we see that the function first decreases in the interval [-3,0]

( since the value of the function at x= -3 is 17 and then it decreases to -4 at x=0)

and then the function increases from x=0 to x=2

( since at x=0 the value of function is -4 and at x=2 the value of function is 13 )

Hence, the correct answer is:

The function is decreasing from x = -3 to x = -1.