By definition:
- A Local Maxima in a function is the point of an interval whose y-coordinate is the highest in that interval.
- A Local Minima is a point whose y-coordinate is the lowest y-value in that interval.
In this case, analyzing the graph given in the exercise, you can identify that:
You can identify that a Local Minima is at this point:
And this is a Local Maxima is at this point:
Therefore the answer is:
- Local Maxima:
- Local Minima: