Question

Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

Answer 1

Answer:

Average rate of change = 2

Step-by-step explanation:

Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.

f(-5) = (-5)^2 − 3(-5) − 10 = 25 + 15 - 10 = 30

f(10) = 10^2 − 3(10) − 10 = 100 - 30 - 10 = 60

Average rate of change:

   f(10) - f(-5)                     60  -  30                         30

-------------------- =   ------------------------------- =   -----------------------  = 2

     10 - (-5)                            15                               15