## Correlation to Michigan Algebra 1 Standards Section 20 Rational Functions

Lesson: Introduction to Rational Function
A1.2.2
Associate a given equation with a function whose zeros are the solutions of the equation.
A1.1.2 Know the properties of exponents and roots and apply them in algebraic expressions.
A1.1.3 Factor algebraic expressions using, for example, greatest common factor, grouping, and the special product identities.
A2.1.3 Represent functions in symbols, graphs, tables, diagrams, or words and translate among representations.
A2.1.6 Identify the zeros of a function, the intervals where the values of a function are positive or negative, and describe the behavior of a function as x approaches positive or negative infinity, given the symbolic and graphical representations.
A2.1.7 Identify and interpret the key features of a function from its graph or its formula(s).
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: Simplifying Rational Exponents
Major Emphasis:
A1.1.2
Know the properties of exponents and roots and apply them in algebraic expressions.
A1.1.3 Factor algebraic expressions using, for example, greatest common factor, grouping, and the special product identities.

Lesson: Solving Rational Functions
Major Emphasis:
A1.2.2
Associate a given equation with a function whose zeros are the solutions of the equation.
A1.1.2 Know the properties of exponents and roots and apply them in algebraic expressions.
A1.1.3 Factor algebraic expressions using, for example, greatest common factor, grouping, and the special product identities.

Lesson: Holes, Asymptotes and Graphs
Major Emphasis:
A2.1.7
Identify and interpret the key features of a function from its graph or its formula(s).
A2.1.6 Identify the zeros of a function, the intervals where the values of a function are positive or negative, and describe the behavior of a function as x approaches positive or negative infinity, given the symbolic and graphical 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: Horizontal Asymptotes
Major Emphasis:
A2.1.7
Identify and interpret the key features of a function from its graph or its formula(s).
A2.1.6 Identify the zeros of a function, the intervals where the values of a function are positive or negative, and describe the behavior of a function as x approaches positive or negative infinity, given the symbolic and graphical 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.