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?
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.

Answer 2

option B is right

Explanation:

A function is increasing if increase in x results in increase in y.

Here we are given a function g(x) along with table

x g(x)

−2 2

−1 −3

0 2

1 17

We see that when x increases from -2 to -1 g(x) decreases. Hence option A is wrong

From 0 to 1 x increases and y also increases. Hence option 2 is correct.

From -1 to 0 function increases when x increases hence option 3 is incorrect

From 0 to 1 f is increasing hence option D is wrong

Only option B is right