Inverses of the power functions
Dynamic Activity
Radical Functions
Take Note Key Concepts: Families of Radical Functions
| Square Root | Radical | |
|---|---|---|
| Parent function: |
|
|
| Reflection in x-axis: |
|
|
| Stretch
|
|
|
| Translation: Horizontal by h Vertical by k |
|
|
Problem 1 Translating a Square Root Function Vertically
What are the graphs of
Think
How is
It is related to the parent function in the same way that
The graph of
The graph of
The domains of both functions are the set of nonnegative numbers, but their ranges differ.
✓ Got It?
- What are the graphs of
Problem 2 Translating a Square Root Function Horizontally
What are the graphs of
Think
How is
It is a horizontal translation of h units.
The graph of
The graph of
The ranges of both functions are the set of nonnegative numbers, but their domains differ.
✓ Got It?
- What are the graphs of
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions