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