1. 6.5 - Graphing Square Root and Cube Root
Functions

2. Ex 1: Graph
x y 1 4 9 1 2 3
Domain of f(x) ? _____________________
Range of f(x)? _____________________
For square root functions, is the _____________ function.
parent

3. Domain of g(x)? ___________ Range of g(x)? ___________ Right 3
Ex 2: Graph
Transformations:
Domain of g(x)? ___________
Range of g(x)? ___________
Right 3

4. Domain of h(x)? __________ Range of h(x)? __________ up 3
Ex 3: Graph
Transformations:
Domain of h(x)? __________
Range of h(x)? __________
up 3

5. Domain of f(x)? __________ Range of f(x)? __________ Down 2, left 5
Graph
Transformations:
Domain of f(x)? __________
Range of f(x)? __________
Down 2, left 5

6. Domain of g(x)? __________ Range of g(x)? __________
Graph
Transformations:
Domain of g(x)? __________
Range of g(x)? __________
Down 4, left 2, reflect in x-axis

7. Domain of h(x)? _________ Range of h(x)? _________
Graph
Transformations:
Domain of h(x)? _________
Range of h(x)? _________
Up 1, right 3, reflect in x-axis

8. Given the form , describe how a, h and k affect the shifting of
______________________________________
When a is negative, reflect x axis
h: Left or right
h: Up or Down
Starting point:
(h, k)

9. Graph
x y –8 –1 1 8 –2 –1 1 2
Domain of f(x) ? _____________________
Range of f(x)? _____________________
For square root functions, is the _____________ function.
parent

10. Domain of g(x)? ___________ Range of g(x)? ___________ left 2, up 3
Ex 5: Graph
Transformations:
Domain of g(x)? ___________
Range of g(x)? ___________
left 2, up 3

11. Domain of f(x)? __________ Range of f(x)? __________
Graph
Transformations:
Domain of f(x)? __________
Range of f(x)? __________
Up 2, reflect in x-axis

12. Domain of g(x)? __________ Range of g(x)? __________
Graph
Transformations:
Domain of g(x)? __________
Range of g(x)? __________
Right 4, reflect in x-axis

13. Domain of g(x)? __________ Range of g(x)? __________ Right 2, down 1
Graph
Transformations:
Domain of g(x)? __________
Range of g(x)? __________
Right 2, down 1

14. Given the form , describe how a, h and k affect the shifting of
______________________________________
When a is negative, reflect x axis
h: Left or right
h: Up or Down
Starting point:
(h, k)