Answer:
Increasing interval is:
Decreasing interval is:
Constant at no interval
Explanation:
Given
See attachment for graph
Solving (a): The domain
From, the attached graph, we have:
The degree of the polynomial (i.e 2) is even.
Hence, the domain is the set of all real numbers, i.e.
Solving (b): The range
The curve of
opens downward, and the maximum is:
This means that the minimum is:
Hence, the range of the set is:
Solving (c): Interval where the function increases/decreases/constant
In (a), we have:
Split to 2 (at vertex x = 0)
and
So:
The increasing interval is:
The decreasing interval is:
The function has a tangent at
but at no interval, was the function constant