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The polynomial function f(x) is graphed below. Fill in the form below regarding the
features of this graph.

The Polynomial Function Fx Is Graphed Below Fill In The Form Below Regarding The Features Of This Graph class=

Sagot :

The degree of [tex]f(x)[/tex] is 4 and the leading coefficient is a negative number. There are two distinct real zeros and two relative minimum values.

Procedure - Determination of characteristics of a polynomic function

Based on the form of the figure, we observe the following characteristics:

  1. The maximum grade of the polynomial must be even since [tex]y < 0[/tex] for both [tex]x \to -\infty[/tex] and [tex]x \to + \infty[/tex]. The leading coefficient must be negative.
  2. The least grade of the polynomial must be 4.
  3. The function has two real zeros.
  4. The function has two relative maxima.

Therefore, we have the following conclusion: The degree of [tex]f(x)[/tex] is 4 and the leading coefficient is a negative number. There are two distinct real zeros and two relative minimum values.

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