Name: ______________________Date: __________
Graphing Radical Equations
Objective: You will examine the domain, range, and graphs of radical equations throughout this
exploration.
Number 1:
Use the table on the calculator to complete the table of values for this function. If the function value
does not exist, write ERROR:
x
-4
-3
-2
-1
0
1
2
3
4
f(x)
Use the graphing calculator to graph the function:
On the number line, plot the x-values for which the function is defined:
Describe the domain of the function: _________________________
Number 2:
Use the table on the calculator to complete the table of values for this function. If the function value
does not exist, write ERROR:
X
-4
-3
-2
-1
0
1
2
3
4
f(x)
Use the graphing calculator to graph the function:
On the number line, plot the x-values for which the function is defined:
Describe the domain of the function: _________________________
Number 3:
Use the table on the calculator to complete the table of values for this function. If the function value
does not exist, write ERROR:
x
-4
-3
-2
-1
0
1
2
3
4
f(x)
Use the graphing calculator to graph the function:
On the number line, plot the x-values for which the function is defined:
Describe the domain of the function: _________________________
Number 4:
Use the table on the calculator to complete the table of values for these functions. If the function
value does not exist, write ERROR:
X
-4
-3
-2
-1
0
1
2
3
4
f(x)
g(x)
h(x)
Use the graphing calculator to graph each function in a different color:
On the number line, plot the x-values for which the functions are defined:
Describe the domain of these functions: _______________________
Number 5:
Use the table on the calculator to complete the table of values for this function. If the function value
does not exist, write ERROR:
x
-4
-3
-2
-1
0
1
2
3
4
f(x)
Use the graphing calculator to graph the function:
On the number line, plat the x-values for which the function is defined:
Describe the domain of the function: _________________________
Making Connections: What have you observed about the domain of each radical function?
________________________________________
________________________________________
Writing Assignment:
You are the radical function
, you must explain to your teacher
be translated. Be sure to tell your teacher,
how you can
, what happens when:
 a number h is added under your radical such as
 a number k is added outside of your radical such as
 a number a is multiplied by your radical such as
 combine all three operations and explain what would happen to
You don’t want
, your teacher, to move you to the wrong place so be sure that you are
specific and use examples…you don’t want
to get confused or lost!
(Attach a sheet of paper to your packet with your writing assignment)