Question

This table shows values represented by an exponential function x= 0,1,2,3,4,5,6 y=1,3,9,27,64,125,216 what is the average rate of change for this function for the interval from x=2 to x=4?

Answer 1

27.5 is the answer

For this case we know that the average rate of change of a function is given by this general expression:

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

For this special case from the info in the table we have:

a =2 , f(2) = 9

a =4 , f(4) = 64

And replacing the data with the average rate formula we got:

m = 64 - 9/4 - 2 = 27.5

And then the best answer for this case would be:

27.5

The exponential function is a mathematical function represented by f (x) = \ exp or e ^ {x}. Unless otherwise specified, the term generally refers to a function of a positive value of a real variable, but it can also be extended to complex numbers or generalized to other mathematical objects such as matrices and Lie algebras.

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