Question

What is the interval of increase and decrease of f(x)= (x-4)^2 -1

Answer 1

Answer:

(−∞,4)

Step-by-step explanation:

Explanation:

To determine the interval that f(x) is increasing.

increasing when f'(x)>0f'(x)=−2(x−4)← using chain rule

solve −2(x−4)>0

⇒−2x+8>0

⇒x<4

interval is (−∞,4)

graph{-(x-4)^2-3 [-8.89, 8.89, -4.445, 4.44]}