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Describing Graphs of Polynomial Functions

Describing Graphs of Polynomial Functions 1.6 - Solution

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a

We want to estimate the x-x\text{-}coordinate of every turning point to tell whether it's a relative maximum or minimum of the function. Let's look at the given graph to see where the turning points are.

The graph has two relative maximum points and two relative minimum points.

x-x\text{-}coordinate of Relative Maximum Point x-x\text{-}coordinate of Relative Minimum Point
About -3.5\text{-} 3.5 About -2.75\text{-} 2.75
-1\text{-} 1 About 1.51.5
b

We want to estimate the zeros of the polynomial. A zero is the x-x\text{-}coordinate of the point at which the graph intercepts the x-x\text{-}axis. Let's consider the given graph.

The zeros occur at approximately -2,\text{-} 2, 0,0, and 3.5.3.5.