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The graph shows the function f(x).

Which value is closest to the average rate of change from x = 3 to x = 5?

A. 0.4
B. 0.6
C. 1.5
D. 2.5

The graph shows the function f(x). Which value is closest to the average rate of change-example-1
User Neilos
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2 Answers

3 votes
C should be the answer hope this helps
User Ilya Semenov
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1 vote

Answer:

Hence, the average rate of change is:

1.5

Explanation:

We have to find the closest value to the average rate of change from x=3 to x=5.

We know that the average rate of change of a function f(x) from x=a to x=b is calculated as:


=(f(b)-f(a))/(b-a)

i.e. here we have:

a=3 and b=5

Now,, from the graph of the function f(x) we could observe that:


f(5)=-1 and
f(3)=-4

Hence, the average rate of change from x=3 to x=5 is:


=((-1)-(-4))/(5-3)\\\\=(3)/(2)\\\\=1.5

Hence, the average rate of change is:

1.5

User Alexey Kalmykov
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