SOLUTION: Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞)

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Question 1038918: Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Consider the branching function
f%28x%29+=+-2x%2B4 for +0+%3C+x+%3C=+2, and
=%28%28x-2%29%28x-5%29%29%2F%28x-7%2F2%29%5E2 for +2+%3Cx+%3C=+5.
The absolute minimum of this function is 0 and occurs at x = 2 and x = 5, and approaches %2Binfinity as x approaches 7/2 from both sides.