Worksheets | Michigan Table of Contents


Correlation to Michigan Algebra 1 Standards
Section 21 Advanced Functions

Lesson: Composite Functions
Major Emphasis:
A2.2.1
Combine functions by addition, subtraction, multiplication, and division.
Also Addressed:
A1.2.8
Solve an equation involving several variables (with numerical or letter coefficients) for a designated variable. Justify steps in the solution.

Lesson: Introduction to Inverse Functions
Major Emphasis:
A2.2.3
Recognize whether a function (given in tabular or graphical form) has an inverse and recognize simple inverse pairs.
A2.1.1 Recognize whether a relationship (given in contextual, symbolic, tabular, or graphical form) is a function and identify its domain and range.

Lesson: Writing Inverse Functions
A1.2.8
Solve an equation involving several variables (with numerical or letter coefficients) for a designated variable. Justify steps in the solution.
Also Addressed:
A2.2.3
Recognize whether a function (given in tabular or graphical form) has an inverse and recognize simple inverse pairs.

Lesson: Graphs of Inverse Functions
Major Emphasis:
A2.2.3
Recognize whether a function (given in tabular or graphical form) has an inverse and recognize simple inverse pairs.

Lesson: The Horizontal Line Test
Major Emphasis:
A2.2.3
Recognize whether a function (given in tabular or graphical form) has an inverse and recognize simple inverse pairs.

Lesson: Verifying Inverse Relations (Advanced Lesson)
A2.2.1
Combine functions by addition, subtraction, multiplication, and division.
A2.2.3 Recognize whether a function (given in tabular or graphical form) has an inverse and recognize simple inverse pairs.
Also Addressed:
A1.2.8
Solve an equation involving several variables (with numerical or letter coefficients) for a designated variable. Justify steps in the solution.

Piecewise Combined
Major Emphasis:
A2.1.4
Recognize that functions may be defined by different expressions over different intervals of their domains. Such functions are piecewise-defined.