SOLUTION: Can you please take the time to help me solve this problem: Give an example for f(x), if f(x) is an increasing function between 2 and 3. Thank you for helping me.

Algebra ->  Functions -> SOLUTION: Can you please take the time to help me solve this problem: Give an example for f(x), if f(x) is an increasing function between 2 and 3. Thank you for helping me.      Log On


   

Question 105591: Can you please take the time to help me solve this problem: Give an example for f(x), if f(x) is an increasing function between 2 and 3.
Thank you for helping me.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
definition:
We say a function f is increasing on an interval I if for all x and y in I,
x+%3C+y implies f+%28x%29+%3C+f+%28y%29.
We say f is decreasing on an interval I if for all x and y in I,
x+%3C+y implies f+%28x%29+%3E+f+%28y%29.
Example:
f+%28x%29+=+x%5E2
is decreasing+on (−∞, 0] and increasing on [0, ∞).
If this function is increasing on [0, ∞), it is increasing between 2 and 3.