Answer:
(−∞,4)
Step-by-step explanation:
Step-by-step 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]}