Question

Determine the interval(s) on which the given function is decreasing.

Answer 1

A function is decreasing if, reading from left to right, we can see that the graph of the function goes down.

Here we can't see the graph, but we have a brief description.

"the graph goes up until it reaches a maximum at (0, 5), then the graph reaches a relative minimum at (1, 4), then it goes up again"

Now, the graph was going up until it reached the maximum, so at that point, the graph starts going down.

The graph will go downwards until it reaches the minimum, at that point the graph starts increasing again.

So the graph only goes down between x = 0 and x = 1.

we can conclude that the interval on which the given function is decreasing is [0, 1]

If you want to learn more, you can read:

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