1. Square Root Functions and Inequalities
Lesson 7.3
Square Root Functions and Inequalities

2. Square Root Functions
Definition: when a function contains a square root of a variable
The inverse of a quadratic function (starts with x2) is a square root function only if the range has no negative numbers!!
pg 4

3. pg 4
Parent Functions

4. Graphing Square Root Functions
pg 4
Graphing Square Root Functions
1. Find the domain.
The radicand (the stuff inside the square root) cannot be negative so take whatever is inside and make it greater than or equal to 0 and solve.
2. Plug the x value you found back in and solve for y.
3. Make a table starting with the ordered pair you found in steps 1 & 2. Graph.
4. State the range.

5. Examples 1. Graph. State the domain, range, and x- and y- intercepts.
pg 5

6. 2. Graph. State the domain, range, and x- and y- intercepts.
pg 5

7. 3. Graph. State the domain, range, and x- and y- intercepts
pg 5

8. Square Root Inequalities
pg 6
Square Root Inequalities
Follow same steps as an equation to graph but add last step of shading.
Remember rules for solid and dotted lines!!

9. Examples
4. Graph
pg 6

10. 5. Graph
pg 6

11. 6. Graph
pg 6

12. 7. Graph
pg 6