Determine the intervals on which the function is increasing

Determine the intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter ONE.) f(x) = x^2 - 8x increasing decreasing constant

Solution

Solution:

As we can see that from graph that

function f(x) is appraoching toward negative value as we move from - to -4   ie value of f(x) is decreasing on this interval

and just at point x =4 there is no change in f(x) slope this curve is equal to 0

therefore It is constant at x= 4

Again as we move from 4 to + the function f(x) start increasing and approach to infinity

therefore from above we can conclude that

increasing (4 ,)

decreasing (-,4)

Costant x = 4