SOLUTION: Determine the interval(s) on which f(x)=8(x−2)^2+9 is increasing and decreasing

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Question 1187662: Determine the interval(s) on which f(x)=8(x−2)^2+9 is increasing and decreasing
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.

This function represents a parabola open upward with the symmetry axis x = 2.


The function decreases at x < 2  and  increases at x > 2.       ANSWER

Solved.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=8%28x-2%29%5E2%2B9-> it's a parabola opening upward, vertex is at (2,9)-> x=2 axis of symmetry

the interval(s) on which is increasing:
2%3Cx%3Cinfinity+
(2,infinity)
and decreasing:
-infinity+%3Cx%3C2
(-infinity, 2)