Question

Find all local and global extrema!!! HELP NEEDED!!!

Answer 1

Answer:

The local and global extrema are: (-3,0), (0,-1.62), and (3,0)

Step-by-step explanation:

To solve this, we can use a graphing calculator.

The graph of the function looks as it is shown on the image.

Local extrema is defined as the highest/lowest y-value in a general area, while global extrema are the highest/lowest defined y-value on the function.

This graph shows that the highest points (as it is tied at y=0) are (-3,0) and (3,0), so they would be both local and global maximum.

Additionally, the local min is seen to be at (0,-1.62). This is also a global minimum as this function is not given a defined domain, so it can be assumed that the domain of this function is (-∞,∞). Global extrema can only occur at defined values, so the end points of -∞ and ∞ can be ignored.