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United States of AmericaPA
High School Core Standards - Algebra II Assessment Anchors

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

CC.2.2.HS.C.2

Graph and analyze functions and use their properties to make connections between the different representations.

A2.2.1.1.4

Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increase/decrease, intercepts, zeros, and asymptotes).

A2.2.2.1.1

Create, interpret, and/or use the equation, graph, or table of a polynomial function (including quadratics).

A2.2.2.1.4

Translate a polynomial, exponential, or logarithmic function from one representation of a function to another (graph, table, and equation).

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