## 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.