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For which interval is the average rate of change of f(x) negative?

On a coordinate plane, a function starts from above quadrant two and goes through (negative 4, 0) to (negative 3, negative 3). The function then curves upward toward (0, 1) and then curves down toward (3, negative 3). The function then curves up and approaches x = 5.



from x = –4 to x = –1
from x = –3 to x = 3
from x = 0 to x = 2.5
from x = 3 to x = 4.5

For which interval is the average rate of change of fx negative On a coordinate plane a function starts from above quadrant two and goes through negative 4 0 to class=

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Answer:

The correct option is C

Step-by-step explanation:

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A slope is also known as the gradient of a line is a number. The correct option is C.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The average rate of change is negative when the slope of the given graph is negative. Now, it can be observed that the slope is negative in the two intervals (-∞,-3] and [0,3].

Further, from the given option it can be seen that the only option that in under this two interval is C, from x = 0 to x = 2.5.

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