Section 3.5 Graph Square Roots and Cube Root Functions
1) Do the following for the given square root function: y
= √𝑥
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
0
1
4
9
y
b) What happens when you evaluate the function for any negative value?
c) What is the domain and range of the function?
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
2) Do the following for the given square root function: y
1
= √𝑥
2
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
0
1
4
9
b) What is the domain and range of the function?
y
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
3) Do the following for the given square root function: y
= −3√𝑥
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
0
1
4
9
b) What is the domain and range of the function?
y
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
4) Do the following for the given square root function: y
= 2√𝑥 − 1 + 3
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
1
2
5
10
b) What is the domain and range of the function?
y
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
5) Do the following for the given square root function: y
= −3√𝑥 + 3 − 2
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
-3
-2
1
6
b) What is the domain and range of the function?
y
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
6) Do the following for the given square root function: y
3
= √𝑥
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
-8
-1
0
1
8
y
b) What happens when you evaluate the function for any negative value?
c) What is the domain and range of the function?
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
7) Do the following for the given square root function: y
13
= − √𝑥
4
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
-8
-1
0
1
8
b) What is the domain and range of the function?
y
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
8) Do the following for the given square root function: y
3
= 2 √𝑥
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
-8
-1
0
1
8
b) What is the domain and range of the function?
y
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
9) Do the following for the given square root function: y
3
= −1 √𝑥 + 3 − 1
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
-11
-4
-3
-2
5
b) What is the domain and range of the function?
y
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions
10) Do the following for the given square root function: y
3
= 3 √𝑥 − 2 + 4
a) Find the corresponding y-coordinates for the given x-coordinates to form three points.
Show all work.
x
-6
1
2
3
10
b) What is the domain and range of the function?
y
(x,y)
Section 3.5 Graph Square Roots and Cube Root Functions