Answer:
- (5, 7) is a local maximum
- Function is odd
Explanation:
As we see on the graph:
- point (1,2) on the falling section,
- point (3,3) on the rising section,
- point (5,7) on the top section,
... of the local intervals. therefore only point (5, 7) is a local maximum.
Absolute minimum is - oo, absolute maximum is + oo
- A function is even if its graph is symmetric with respect to the y-axis.
- A function is odd if its graph is symmetric with respect to the origin.
The given function is odd as per above definition