Question

(09.01 LC) 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) Group of answer choices 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 function is increasing from x = 0 to x = 1

Explanation:

Given that :

x g(x)

-2 2

-1 -3

0 2

1 17

The true statement for the given function is:

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

As we can see from the given function, when x = 0 the corresponding value of the function is 2 but when x = 1 the corresponding value is 17. There is a increase of 15.

i.e → 2 + 15 = 17

From the other options:

The function is increasing from x = −2 to x = −1 ;

NO!, Here the function is decreasing from -2 to -1 because there is a decrease of 5 i.e 2 - 5 = -3

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

when x = -1 ; the function is -3 ; when x = 0 ; the function is 2 . We can see a progressive impact that the function is increasing and not decreasing. The function increases with 5 i.e -3 + 5 = 2

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

It is clear and obvious that the function is increasing when x = 0 to when x = 1