PRECALCULUS, 12 GRADE

Question

Let F(x)= x^2-11, FIND THE AVERADE RATE OF CHANGE FROM a=-4 TO a=-4+h

Answer 1

To find the average rate of change of a function f(x) between x₁ and x₂, you use the expression

(f(x₂)-f(x₁))/(x₂-x₁) i.e the slope of the line connecting (x₁,f(x₁)) and (x₂,f(x₂)

If you input all the values given, you get ((4+h)²- 11)-(4²-11))/h

Multiply out the binomial square and simplify. (If you let the h go to 0, you have the derivative at x=4)

Please consider a tutor. Take care.

Answer 2

they asked for the average rate of chang the

rate of change at a is 2x

the rate of chandler at 4 is 2x4 is 8

at 4+h is 2(4+h)

the average is (8+2h)/2