Using it's concept, the average rate of change of the function in the intervals is given by:
a. 1.
b. -5/3.
c. -1.
d. 4.
e. -3.
f. 0.
What is the average rate of change of a function?
The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
For item a, we have that:
Hence the rate is:
r = (1 - 0)/(-2 - (-3)) = 1.
For item b, we have that:
Hence the rate is:
r = (-4 - 1)/(1 - (-2)) = -5/3.
For item c, we have that:
Hence the rate is:
r = (-4 - (-3))/(1 - 0) = -1.
For item d, we have that:
Hence the rate is:
r = (-0 - (-4))/(2 - 1) = 4.
For item e, we have that:
Hence the rate is:
r = (-3 - 0)/(0 - (-1)) = -3.
For item f, we have that:
Hence the rate is:
r = (0 - 0)/(2 - (-1)) = 0.
More can be learned about the average rate of change of a function at https://brainly.com/question/24313700
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