9.7 Graphing Square Root Functions
NAME __________________________________
Learning Objective: F.IF.1 I will find the domain and range of a square root function in any form
F.IF.4
I will identify graphs that are a square root functions
F.IF.4
I will find the intercept on a graph of a square root function
F.IF.5
I will find the domain and range of a graph of a square root function
F.IF.7
I will graph a square root function
F.IF.7
I will find the intercept on a graph of a square root function
Graph each function, and compare to the parent graph. State the domain and range. Then, tell if it has a
maximum or a minimum value and what that value is.
1. y 

2. y 
5 x
Transformations:
3. y 
x 2
Transformations:
Domain: __________
Domain: __________
Range: __________
Range: __________
Max or Min? value: _______
Max or Min? value: _______
x2
Transformations:
4. y 
x3
Transformations:
Domain: __________
Domain: __________
Range: __________
Range: __________
Max or Min? value: _______
Max or Min? value: _______
1
x2 1
2
5. y  3 x  3
6. y 
Transformations:
Transformations:
Domain: __________
Domain: __________
Range: __________
Range: __________
Max or Min? value: _______
Max or Min? value: _______
Use these graphs to answer the following questions.
a)
7. Which graph has a minimum?
9. Which graph is a square root function?
11. Which one has a parent graph of y = x?
13. Which one has a domain that is [0, )?
Answers:
b)
8. Which one has a domain that is all reals (-, )?
10. Which one has a range that is all reals (-, )?
12. Which one has a range that is [0, )?