#### Type:

Graphic Organizer/Worksheet

#### Description:

Students explore relationships in polynomial graphs using a graphing calculator. This activity has students compare and contrast features of graphs and make general function about the degree of a function and its behavior.

#### Subjects:

• Mathematics > General
• Mathematics > Calculus
• Mathematics > Equations
• Mathematics > Graphing
• Mathematics > Trigonometry

#### Keywords:

polynomials graphing polynomial graphs calculator graph

English

#### Access Privileges:

Public - Available to anyone

#### Collections:

Pre-Calculus
Update Standards?

#### CCSS.Math.Content.HSF-IF.C.7a: Common Core State Standards for Mathematics

Graph linear and quadratic functions and show intercepts, maxima, and minima.

#### CCSS.Math.Content.HSF-IF.C.7c: Common Core State Standards for Mathematics

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

#### CCSS.Math.Content.HSF-BF.B.3: Common Core State Standards for Mathematics

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

#### MA.9-12.CCSS.Math.Content.HSF-IF.C.7a: Mathematics

Graph linear and quadratic functions and show intercepts, maxima, and minima.

#### MA.9-12.CCSS.Math.Content.HSF-IF.C.7c: Mathematics

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

#### MA.9-12.CCSS.Math.Content.HSF-BF.B.3: Mathematics

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
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