## 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.