Question

A function is shown in the table.. . . xg(x). −22. −1−3. 02. 117. . . Which of the following statement is a true for this function?

The function is increasing from x = −2 to x = −1..
The function is increasing from x = 0 to x = 1..
The function is decreasing from x = −1 to x = 0..
The function is decreasing from x = 0 to x = 1..

Answer 1

The statement that is true for the function is:

The function is increasing from x = 0 to x = 1.

Explanation:

We are given a table of values for the function g(x) as:

x g(x)

-2 2

-1 -3

0 2

1 17

By looking at the table of values of the function g(x) we have:

The function g(x) is firstly decreasing from x=-2 to x=-1

Then it is increasing from x=-1 to x=1.

Hence, the statement that holds true from the given set of values of function g(x) is:

The function is increasing from x = 0 to x = 1.

( Since, the function takes the value at x=0 as g(x)=2

and the function takes the value at x=1 as g(x)=17)

Answer 2

Only one statement is correct:
B ) The function is increasing from x = 0 to x = 1
Explanation: g ( 0 ) = 2, g ( 1 ) = 17, 2 < 17.