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3.03 Graphs and characteristics of polynomial functions

Interactive practice questions

Determine the relationship between the degree of a polynomial function and the number of turning points on its graph.

A polynomial function that has degree $n$n has a graph with exactly $n$n turning points.

A

A polynomial function that has degree $n$n has a graph with exactly $n-1$n1 turning points.

B

A polynomial function that has degree $n$n has a graph with at most $n$n turning points.

C

A polynomial function that has degree $n$n has a graph with at most $n-1$n1 turning points.

D
Easy
1min

Consider $P\left(x\right)=4x^5+3x^6-8$P(x)=4x5+3x68

Easy
3min

For the polynomial $P(x)=$P(x)=$4-\frac{7x^6}{6}$47x66

Easy
3min

If $P\left(x\right)=\left(x^4+5\right)\left(4-3x^5\right)$P(x)=(x4+5)(43x5)

Easy
6min
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Outcomes

F-IF.7c

Graph functions expressed symbolically and show key features of the graph; by hand in simple cases and using technology for more complicated cases. c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

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