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Functions by Mind Map: Functions

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

11. Modeling real-world Data