HA2: 7­9 Square Root Function
7­9 Square Root Function
Square Root Function: Any function that contains a square root of a variable
Consider: the inverse of the quadratic function y = x2
Example 1: y = √3x + 4 Find the domain, range, and all intercepts. Graph.
Domain :
Range:
x­intercept:
y­intercept:
1
HA2: 7­9 Square Root Function
Shifting and Stretching: y = √x + 2
y = √x + 2
y =√2x
y= √2x + 4
Example 2: Graph the function and state the domain and range.
y = √3x ­ 6 + 4
D:
R:
Intercepts:
2
HA2: 7­9 Square Root Function
Square Root Inequalities:
Graph:
y ≥√x ­ 3 + 4
D:
Same Method ­ 1. Treat as an equation
2. Graph (dotted/solid)
3. Pick a test point
4. Shade
R:
Test Point:
Square Root Inequalities:
Graph:
y >√3x + 5
y ≤√4 + 3/2x
3