Question

find critical numbers of f(x)=x^2-32x+4
@Mathematics

Answer 1

find the derivative and set it to zero

Answer 2

Derivative is 2x-32

Answer 3

Then solve 2x-32=0

Answer 4

2x=32

Answer 5

x=16

Answer 6

this is the only critical number

Answer 7

so now we find the open interval in which the function is increasing and decreasing

Answer 8

Then plug x=16 into f(x) to get your y coordinate.

Answer 9

so function is equal to zero