Sketch a possible graph for a function that satisfies all the following conditions.
a. f (0) = 1.
b. f ( x ) is increasing on the interval (0, 2).
c. f ( x ) is decreasing on the interval (2, 5).
d. f ( x ) is increasing on the interval (5,∞).
e. f ( x ) approaches 3 as x becomes large and approaches −2 as x becomes small.
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