Question

Which is the interval on which the function f(x)=x2−2x−8 is increasing? (1 point) Responses (2,4) ( 2 , 4 ) (1,∞) ( 1 , ∞ ) (−∞,1) ( − ∞ , 1 ) (0,−9) ( 0 , − 9 ) (−1,∞)

Answer 1

To find the interval on which the function is increasing, we need to find the values of x for which the derivative of the function is positive.
Taking the derivative of f(x) = x^2 - 2x - 8, we get f'(x) = 2x - 2.

To find the values of x for which f'(x) > 0, we set 2x - 2 > 0:
2x > 2
x > 1

Therefore, the function is increasing on the interval (1, ∞).