Question

for the graphed exponential equation, calculate the average rate of change from x=1 to x=4

Answer 1

So,

According to the question the function is

y= e^x

Now,

Rate of change for the function is

dy / dx

=e^x

X ranges from 4 to 1

=e^4 - e^1

=54.59-2.71

=51.87

This is the required value

Answer 2

Thank you for asking this question. Here is your answer:

The rate of change can be shown by following formula:

[f(a)-f(b)]/[a-b]

And the rate of change  from x=-4 to x=4 will be:

[f(4)-f(-4)]/(4-(-4))

=[-5-0]/[4+4]

=-5/8

So the final answer would be -5/8

If there is any confusion please leave a comment below.