Chapter 9.3
Square root of a function
What You'll Learn
Recognize that taking the square root of a function only affects the y-coordinate
Apply square root transformations to linear and piecewise functions
Identify that straight lines with positive or negative slope become curves concaving down
Determine invariant points where y-coordinates equal 0 or 1
Understand that square root functions are undefined for negative y-values
What You'll Practice
1
Graphing square root transformations of linear functions using tables of values
2
Sketching square root curves from piecewise function graphs
3
Identifying domain and range for square root of functions
4
Locating invariant points on transformed graphs
Why This Matters
Understanding square root transformations is essential for analyzing more complex functions in algebra and calculus. You'll use these graphing techniques when working with radical equations, modeling real-world scenarios involving rates of change, and preparing for function composition in higher-level math.
This Unit Includes
4 Video lessons
Practice exercises
Skills
Square Root Functions
Function Transformations
Graphing
Domain and Range
Invariant Points
Concavity
