SOLUTION: For the graphed function f(x) = −(5)^x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: For the graphed function f(x) = −(5)^x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.      Log On


   

Question 984015: For the graphed function f(x) = −(5)^x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

first find f%283%29 and f%284%29
f%283%29+=+-%285%29%5E%283+-3%29+%2B+2
f%283%29+=+-%285%29%5E%280%29+%2B+2
f%283%29+=+-1+%2B+2
f%283%29+=1
so, first point is (x%5B1%5D,y%5B1%5D= (3,1
same way find second point
f%284%29
f%284%29+=+-%285%29%5E%284+-3%29+%2B+2
f%284%29+=+-%285%29%5E%281%29+%2B+2
f%284%29+=+-5+%2B+2
f%284%29+=+-3
so, second point is (x%5B1%5D,y%5B1%5D= (4,-3)


the average rate of change, or slope, is:
%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28-3-1%29%2F%284-3%29=-4%2F1=-4
so,the average rate of change from x+=+3 to x+=+4 is highlight%28-4%29