SOLUTION: f(x)= 4|x-4| Increasing? Decreasing? Constant? On?

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Question 655172: f(x)= 4|x-4|
Increasing? Decreasing? Constant? On?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=4abs%28x-4%29
assuming x is real:
f%28x%29=4sqrt%28abs%28x-4%29%29%5E2
global minimum: min{.f%28x%29=4abs%28x-4%29.} is at x=4

+graph%28+500%2C+500%2C+-15%2C+25%2C+-15%2C+25%2C+4abs%28x-4%29%29+
Increasing? Decreasing? Constant? On?
(-infinity%29, 4]
Thus function is decreasing on this interval in its domain.

[4, infinity)
Thus function is increasing on this interval in its domain.
The function is continuous on its entire domain (-infinity,infinity)