Describing Graphs of Polynomial Functions

We want to estimate the coordinates of every turning point. A turning point is either a relative maximum or minimum of the function. Let's look at the given graph to see where the turning points are.

As we can see above, the graph has three turning points at $(1,0),$ $(2,\text{-}2),$ and $(3,0).$ The points $(1,0)$ and $(3,0)$ correspond to local maximums and the point $(2,\text{-}2)$ corresponds to relative minimum.

Next, we will estimate the zeros of the function. A zero is the $x\text{-}$coordinate of the point at which the graph intercepts the $x\text{-}$axis. Let's consider the given graph.

The zeros occur at $x=1$ and $x=3.$