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{{ printedBook.courseTrack.name }} {{ printedBook.name }} 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 two turning points around $(\text{-} 3,\text{-}1.5)$ and $(0.5,\text{-}6.5).$ The point $(\text{-} 3,\text{-}1.5)$ corresponds to relative maximum and the point $(0.5,\text{-}6.5)$ 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 zero occurs at approximately $x=2.5.$

Turning Points | $(\text{-} 3,\text{-} 1.5)$ and $(0.5,\text{-} 6.5)$ |
---|---|

Relative Maximum | $(\text{-} 3,\text{-} 1.5)$ |

Relative Minimum | $(0.5,\text{-}6.5)$ |

Zero | $x=2.5$ |