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A turning point is either a local maximum or a local minimum of the function.
Turning Points: (-1.2,-7.8)
Local maximum: None.
Local minimum: (-1.2,-7.8)
Zeros: -2.4, and 2.4
Smallest Possible Degree: 4
To begin let's recall the following information. A turning point is either a local maximum or a local minimum of the function. A zero is the x-coordinate of the point at which the graph intercepts the x-axis. The smallest possible degree is given by the number of zeros of the function.
We want to estimate the x-coordinate 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.
The graph has none relative maximum point and one relative minimum point.
x-coordinate of Relative Maximum Point | x-coordinate of Relative Minimum Point |
---|---|
None | About (-1.2,-7.8) |
We want to estimate the zeros of the polynomial. A zero is the x-coordinate of the point at which the graph intercepts the x-axis. Let's consider the given graph.
The zeros occur at approximately x=-2.4, and x=2.4.
To find the least possible degree of a polynomial function, there are two things we should consider.