| Domain and Range | Find the Range | Function Characteristics | Translations and Reflections | Dilations |
| 5 | 5 | 5 | 5 | 5 |
| 10 | 10 | 10 | 10 | 10 |
| 15 | 15 | 15 | 15 | 15 |
| 20 | 20 | 20 | 20 | 20 |
| 25 | 25 | 25 | 25 | 25 |
| Final Question | ||||
What is the domain of the following relation?
{(1,0), (3,4), (5,7), (7,8), (9,0)}
What is the domain of the following relation?
{(1,0), (3,4), (5,7), (7,8), (9,0)}
{1, 3, 5, 7, 9)
What is the domain of the following relation?
{(0, .45), (.5, .75), (1, 1.26), (1.5, 2.3)}
What is the domain of the following relation?
{(0, .45), (.5, .75), (1, 1.26), (1.5, 2.3)}
{0, .5, 1, 1.5}
What is the range of the following relation?
{(0,1), (3,5), (6,5), (10, 4), (12, 13)}
What is the range of the following relation?
{(0,1), (3,5), (6,5), (10, 4), (12, 13)}
{1, 5, 5, 4, 13} or {1, 5, 4, 13}
What is the range of the following relation?
{(2, 3), (4, 3), (6, 3), (8, 3)}
What is the range of the following relation?
{(2, 3), (4, 3), (6, 3), (8, 3)}
{3, 3, 3, 3} or {3}
Look at the domain and range of the following relations. Determine which relation is also a function.
a. {(0, -1), (1, -1), (0, -2)}
b. {(-1, 1), (-1, -1), (0, 0)}
c. {(2, 1), (1, 0), (0, -1)}
d. {(-1, 1), (-1, 0), (-1, -1)}
Look at the domain and range of the following relations. Determine which relation is also a function.
a. {(0, -1), (1, -1), (0, -2)}
b. {(-1, 1), (-1, -1), (0, 0)}
c. {(2, 1), (1, 0), (0, -1)}
d. {(-1, 1), (-1, 0), (-1, -1)}
c. {(2, 1), (1, 0), (0, -1)}
Given the domain, find the range of this function.
f(x)= 3x(x+5)
Domain: {-2}
Given the domain, find the range of this function.
f(x)= 3x(x+5)
Domain: {-2}
f(-2)= 3(-2)(-2 + 5)
f(-2)= (-6)(3)
f(-2)= -18
For f(x)=3x2 - 5x, find f(-3).
For f(x)=3x2 - 5x, find f(-3).
f(-3)= 3(-3)2 - 5(-3)
f(-3)=3(9) +15
f(-3)= 27 +15
f(-3)= 42
For f(x)= x3 - 6x, find f(4).
For f(x)= x3 - 6x, find f(4).
f(4)= (4)3 - 6(4)
f(4)= 64 - 24
f(4)=40
Given the domain, {-5}, find the range of the following function.
f(x)= -|3 + x|
Given the domain, {-5}, find the range of the following function.
f(x)= -|3 + x|
f(-5)= -|3 + (-5)|
f(-5)= -|-2|
f(-5)= - (2)
f(-5)= -2
Find the range of the following function for the domain {-2, -1, 0, 3}.
y=2 + x
4
Find the range of the following function for the domain {-2, -1, 0, 3}.
y=2 + x
4
{0, 1/4, 1/2, 5/4} or {0, .25, .5, 1.25}
Which function is a parabola, or has a U shape?
Which function is a parabola, or has a U shape?
Quadratic or x2
Which function has a V shape?
Which function has a V shape?
Absolute Value or |x|
A radical is always in what kind of function?
A radical is always in what kind of function?
Square Root
Which function is undefined at x=0 ?
Which function is undefined at x=0 ?
1/x or "no name"
Name a function that has only one vertex.
Name a function that has only one vertex.
Quadratic or Absolute Value
Which axis has this function been reflected over?
f(x)= (-x)3
Which axis has this function been reflected over?
f(x)= (-x)3
x-axis
Which axis is this function reflected over?
f(x)= -|x|
Which axis is this function reflected over?
f(x)= -|x|
y-axis
How has this function been translated?
f(x)= x2 + 6
How has this function been translated?
f(x)= x2 + 6
Shifted up 6 units
How has this function been shifted?
f(x)= |x-3|
How has this function been shifted?
f(x)= |x-3|
Shift right 3 units
How has this function been shifted?
f(x)= (x+2)3 - 5
How has this function been shifted?
f(x)= (x+2)3 - 5
Shift left 2 units and down 5 units
How has this function been stretched or shrunk?
f(x)= (6x)2
How has this function been stretched or shrunk?
f(x)= (6x)2
Horizontally Shrunk
How has this function been dilated?
f(x)= 1/2 |x|
How has this function been dilated?
f(x)= 1/2 |x|
Veritcally Shrunk
How has this function been dilated?
f(x)= 4(x)3
How has this function been dilated?
f(x)= 4(x)3
Vertically Stretched
How has this function been dilated?
f(x)= (1/3x)3
How has this function been dilated?
f(x)= (1/3x)3
Horizontally Stretched
In the equation y=6f(x), 6 would ______________ the graph.
In the equation y=6f(x), 6 would ______________ the graph.
Verticalliy Stretch
In what ways has this function been transformed?
f(x)= -3(x-2)2 + 7
In what ways has this function been transformed?
f(x)= -3(x-2)2 + 7
Reflected over the y-axis
Stretched Vertically by 3
Shifted right two units
Shifted up 7 units
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