SOLUTION: Draw the graph of a function that decreases over the interval (-5, -2) and increases over the interval (-2, 4). (All I'm given is intervals)

Question 1143049: Draw the graph of a function that decreases over the interval (-5, -2) and increases over the interval (-2, 4). (All I'm given is intervals)
Found 3 solutions by Alan3354, josgarithmetic, greenestamps:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Draw the graph of a function that decreases over the interval (-5, -2) and increases over the interval (-2, 4). (All I'm given is intervals)
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(-5,-2) is a point, not an interval.
Same for (-2,4).

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
You choose the functions you want as long as each is decreasing in the first given interval and increasing in the second given interval. Your input variable does not include x at -2.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Despite what the other tutor (?) says, (-5, -2) and (-2, 4) are perfectly good intervals....

All you need is any continuous graph which, as you "walk" along the graph from x=-5 to x=-2, always has you walking "downhill", and which, as you walk along the graph from x=-2 to x=4 always has you walking "uphill".

Absolute value functions and parabolas are two common types of functions that can meet those requirements.

(1) is downhill from x=-5 to x=-2 and uphill from x=-2 to x=4:

(2) is also downhill from x=-5 to x=-2 and uphill from x=-2 to x=4:

And of course there are an infinite number of other functions that satisfy the requirements.
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