Question

f(x)=x^2−x−1

What is the average rate of change of f over the interval −1≤x≤1?

Answer 1

Oi

Resolvendo ...

f(-1) = (-1)² - (-1) - 1

f(-1) = 1 + 1 - 1

f(-1) = 1

---------------------------------

f(1) = 1² - 1 + 1

f(1) = 1 - 1 + 1

f(1) = 1

-------------------------------------

x   |   y

-1   |   1

1   |   1

x aumentou 2  ----> + 2

y aumentou 0 ----> + 0

V = Δy/Δx

V = 0/2

V = 0 é a taxa média

Bons estudos! :)

Good studies! :)