For the graphed function f(x) = (2)x + 2 + 1, calculate the average rate of change from x = −1 to x = 0.

Question

janu16 · Answer

$$f(x)=(2)^{x+2}+1$$
this is how its written

janu16 · Answer

this is how the grpah looks

mathmale · Answer

Was an illustration included in the problem statement?
Thanks for using Equation Editor.  I was going to prompt you for an explanation of what you meant by your original function.

Have you previously found the "average rate of change" for some other function in some other problem?

If so, write out the formula for "average value of f(x) on interval [a, b]"

janu16 · Answer

thats the illiystration ^^

mathmale · Answer

Note that the interval of interest here is [-1,0].
illiystration ??

milkncookies · Answer

illustration*

janu16 · Answer

illustration

mathmale · Answer

so, what is the formula for "average rate of change of a function on the interval [a,b]"?

janu16 · Answer

is it a(x)= f(x)-f(a)/x-a?

mathmale · Answer

Sorry for the delay.  Please, enclose "f(x)-f(a)" and "x-a" within square brackets, e. g., 
[f(x)-f(a)].  This is really important.

Given$$f(x)=(2)^{x+2}+1$$

mathmale · Answer

please evalute this at a=-1 and b=0.  Your results?

janu16 · Answer

Hold on my openstudy wont load so im on my phone app right now

mathmale · Answer

$$f(-1)=(2)^{-1+2}+1,~and~f(0)=(2)^{0+2}+1.$$

janu16 · Answer

Is it 3 and 5?

janu16 · Answer

do i just subtract 3-5 to get the answer? i got -2

janu16 · Answer

@mathmale