Note: May be you meant to write the function as:
f(x)=-22x²-7x+18
Answer:
The Average rate of function = 235
Step-by-step explanation:
Given the function
f(x) = –22x² – 7x + 18
Interval = -10 < x < -1
so
taking x₁ = -9, x₂ = -2 in the interval
f(x₁) = f(-9) = -22(-9)² – 7(-9) + 18
= -1701
f(x₂) = f(-2) = -22(-2)² – 7(-2) + 18
= -56
Using the formula
Average rate of change = f(x₂) - f(x₁) / x₂-x₁
= (-56) - (-1701) / (-2) - (-9)
= (-56 + 1701) / (-2+9)
= 1645 / 7
= 235
Thus, the Average rate of function = 235
