# Relative and Absolute Extrema

## Question 1

What do you notice about the graph of f(x) when g(x)=0?

## Question 2

Does the graph f(x) have relative extrema? If so, where are they? If not, how do you know?

## Question 3

Does the graph f(x) have absolute extrema? If so, where are they? If not, how do you know?

## Question 4

How would you know when the graph f(x) switches concavity?