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Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.

What is the average rate of change?

User Athena
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1 Answer

3 votes

Given:

Consider the given function is:


f(x)=5^x+1

To find:

The average rate of change between x = 0 and x = 4.

Solution:

The average rate of change of a function f(x) over the interval [a,b] is:


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

We have,


f(x)=5^x+1

At
x=0,


f(0)=5^0+1


f(0)=1+1


f(0)=2

At
x=0,


f(4)=5^4+1


f(4)=625+1


f(4)=626

Now, the average rate of change between x = 0 and x = 4 is:


m=(f(4)-f(0))/(4-0)


m=(626-2)/(4)


m=(624)/(4)


m=156

Hence, the average rate of change between x = 0 and x = 4 is 156.

User Peter Flannery
by
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