Function
Vocab
Vocab
True or False-A relation is a set of ordered pairs
Is it a function?
x | y
2 | 4
1 | 5
2 | 6
What is NO because x repeats?
curly brackets
What is the domain of a function?
The set of all x-values
What is a range of function?
The set of all y-values
The set of first coordinates of a relation or a function
What is domain?
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
What is YES because x does not repeat?
Yes
State the domain:
(Pic - Domain 200)
D: {1, 2, 3, 4, 5, 6}
State the range:
(Pic - Range 200)
R: {-1, 0, 1, 2, 3, 6}
The set of second coordinates in a relation or a function
What is the range?
Is this a function?
(Pic - Functions 300)
Yes, the for each x value there is exactly one y value
If x has two values for y, does it make it a function?
No, x can only have one exactly value for y
What is the domain?
(Pic - Domain 300)
D: {3, 4, 5}
What is the range?
(Pic - Range 300)
R: {0, 1, 6}
A relation that assigns exactly one value in the range to each value in the domain?
What is a function?
Is it a function? Justify your answer.
{(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
How do you perform the vertical line test?
You draw a vertical line on the graph and it should only touch it once
State the domain:
x | y
3 | 7
5 | 9
3 | 8
D: {3, 5}
State the Range:
x | y
3 | 7
5 | 9
3 | 8
R: {7, 8, 9}
The test to tell if a graph is a function
What is the Vertical Line Test?
Using the vertical line test, does the graph of the points (1,3) and (1,5) represent a function?
No, the points fail the Vertical Line Test.
The domain and range are given as:
D: {-3, 4, 7, 10}
R: {2, 5, 8}
Is this a function?
Yes, because the y values can repeat but not the x values
State the domain:
x | y
4 | -4
-5 | 9
1 | 0
-5 | 3
D: {-5, 1, 4}
State the range:
x | y
4 | -4
-5 | 9
1 | 0
-5 | 3
R: {-4, 0, 3, 9}