## 1. Economic Application

## 2. Apply functions to problem situations. Use mathematical models to make predictions.

### 2.1. Identifying Models by Using Constant Differences or Ratios

## 3. Modeling Real-World Data with Linear Functions - Section 1.6

## 4. Transformation of Functions - Algebra Tutorial

## 5. Multiple Representation of Functions.

### 5.1. Equation

### 5.2. Table

### 5.3. Graph

### 5.4. Multiple Representations of Functions

## 6. Comparing Functions

### 6.1. Math 8 Lesson 19: Comparing Functions (Simplifying Math)

### 6.2. Comparing the Average Rates of Change of Two Functions.

### 6.3. Sketching Graphs of Functions Given Key Features.

### 6.4. Comparing Exponential and Polynomial Functions.

## 7. Piecewise Functions

### 7.1. Write and graph piecewise functions. Use piecewise functions to describe real-world situations.

### 7.2. Write the equation of each line in slope-intercept form.

## 8. Transforming Functions

### 8.1. Combining Transformations

### 8.2. Transforming Piecewise Functions

8.2.1. When functions are transformed, the intercepts may or may not change.

### 8.3. Identifying Intercepts

8.3.1. The factor for horizontal stretches and compressions is the reciprocal of the coefficient in the equation.

### 8.4. Problem-Solving Application

## 9. Operations with Function

### 9.1. Operations with functions

### 9.2. Composition of Functions

9.2.1. Adding and Subtracting Functions

9.2.2. Multiplying and Dividing Functions

9.2.3. Another function operation uses the output from. one function as the input for a second function.

9.2.4. Evaluating Composite Functions

9.2.4.1. Writing Composite Functions

9.2.4.2. Business Application

9.2.5. Operations on Functions & Composition of Functions

## 10. Functions and their Inverse

### 10.1. Inverse Functions - Domain & range- With Fractions, Square Roots, & Graphs

### 10.2. One-to-one Function

10.2.1. Horizontal-line Text

### 10.3. Writing Rules for inverses

10.3.1. Determining Whether Functions Are Inverses