Question

( I already know the answer isn’t -2, -1 so D is out of the question
A function is shown in the table.

x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)

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

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

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

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

1. Philomena
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
A function is increasing when the y-value increases as the x-value increases.
A function is decreasing when the y-value decreases as the x-value increases.
From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:
• x-value -2 to -1 → increase
• y-value 2 to 0 → decrease
From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:
• x-value -1 to 0 → increase
• y-value 0 to 2 → increase
From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:
• x-value 0 to 1 → increase
• y-value 2 to 8 → increase