Worksheets | Michigan Table of Contents


Correlation to Michigan Algebra 1 Standards
Section 17 Power Functions with Integer Exponents/Polynomial Functions

Lesson: Factoring Power/Polynomial Functions Using Special Products
Major Emphasis:
A1.1.3
Factor algebraic expressions using, for example, greatest common factor, grouping, and the special product identities.

Lesson: Solving Power/Polynomial Functions Using Special Products
Major Emphasis:
A1.2.6
Solve power equations and equations including radical expressions, justify steps in the solution, and explain how extraneous solutions may arise.
Also Addressed:
A1.1.2
Associate a given equation with a function whose zeros are the solutions of the equation.

Lesson: Graphs of Power/Polynomial Functions
Major Emphasis:
A3.5.2
Understand the effects of degree, leading coefficient, and number of real zeros on the graphs of polynomial functions of degree greater than 2.
A3.5.3 Determine the maximum possible number of zeroes of a polynomial function and understand the relationship between the x-intercepts of the graph and the factored form of the function.
A2.1.7 Identify and interpret the key features of a function from its graph or its formula(s).
Also Addressed:
A2.1.3
Represent functions in symbols, graphs, tables, diagrams, or words and translate among representations.
A2.3.1 Identify a function as a member of a family of functions based on its symbolic or graphical representation. Recognize that different families of functions have different asymptotic behavior.

Lesson: Graphs: Transformations to Power/Polynomial Function Output
Major Emphasis:
A2.2.2
Apply given transformations to parent functions and represent symbolically.
A3.4.1 Write the symbolic form and sketch the graph of power functions.
A3.5.1 Write the symbolic form and sketch the graph of simple polynomial functions.

Lesson: Graphs: Transformations to Power/Polynomial Function Input
Major Emphasis:
A2.2.2
Apply given transformations to parent functions and represent symbolically.
A3.4.1 Write the symbolic form and sketch the graph of power functions.
A3.5.1 Write the symbolic form and sketch the graph of simple polynomial functions.