SOLUTION: graph: f(x)=(x-2)^2 Determine the values of x where the function is increasing, decreasing, and constant.

Question 678982: graph: f(x)=(x-2)^2
Determine the values of x where the function is increasing, decreasing, and constant.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Take the f' of the function and set it equal to .
You need that because the derivative at a constant point is plus, at that point, the function can change from increasing to decreasing and vice versa.
'

, this means that when , the slope at is .
You plug in a number from either side of that number, x= 2 into f'(x) because by doing this you find out the slope of the line.
So I will pick, and for simplicity's sake.
.....=>..slope is negative
.....=>..slope is positive

so, the function is decreasing for any value of from (,),
increasing for any value of from (,)

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