Vocabulary
For every input, there's exactly one output.
What is the domain of the following relation? [(5,-2),(-3,-2),(0,-2),(-2,-2)]
{-3,-2,0,5}?
F(x) = 3x + 4, evaluate F(2)
What is F(2) = 10
If you use the vertical line test and it intersects the graph and more than on place, is the graph a function?
No
Is the following relation a function?
{(0,2),(-1,3),(3,2),(-4,5)}
yes
The test used to determine if a graph is a function or not
Vertical Line Test
What is the range of the following relation? [(5,-2),(-3,-2),(0,-2),(-2,-2)]
{-2}
f(x) = x2. What is f(-3)?
f(-3) = 9
A graph that makes a v shape is called what?
Absolute Value function
h(x) = |2x + 7|
Find f(-2)
f(-2) = 3
A set of all the x-values.
Domain
The cost per shoes that Alice buys is given: (1, 52), (2, 104), (3, 156)
What is the range for the function?
{52, 104, 156}
f(x) = -x2 - 10. What is f(2)?
f(2) = -14
Complete the table for the function
f(x) = -2x + 5
x f(x)
0 ___
1 ___
3 ___
5 ___
f(x)
5
3
-1
-5
Who was the 16th President of the United States
Abraham Lincoln
The set of all the y-values.
Range
Find the domain of the function
(3, 5)
(4, 10)
(5, 15)
{3, 4, 5}
f(x) = |-x + 2|. What is f(9)?
f(9) = 7
Create a table of values using {-2, -1, 0, 1, 2} for your domain.
g(x) = x2 + 2
x y
-2 6
-1 3
0 2
1 3
2 6
Functions cannot have repeated _______values.
x
The variable that represents the input values
independent variable
What is the range of the y = 3x given {0,1,2,3,4)} as the domain?
{0,3,6,9,12}
f(x) = |-x + 3|. What is f(-3)?
f(-3) = 6
Create a table of values using {-2, -1, 0, 1, 2} for your domain.
j(x) = |x - 5|
x y
-2 7
-1 6
0 5
1 4
2 3
What country is the Great Wall of China located?
China