Function Vocab
Evaluating Function Rules
Tables and Mapping Diagrams
Relations
Is it a Function?
100
We've discussed in class that every function is a relation, since a relation just compares two things (like x and y).
Is every relation a function?
No; some relations repeat inputs.
100
Evaluate f(x)=-3x for f(2).
What is -6?
100
Write all the ordered pairs shown in the mapping diagram below. 
(10, 15), (20, 45), (30, 25), and (40, 35)
100
State the domain of the function {(4,-2),(-1,1),(2,-3),(3,0)}
What is {4,-1,2,3}?
100
Is it a function?
{(2, 3), (4, 5), ( -2, 6)}
What is YES because x does not repeat?
200
The set of first coordinates of a relation or a function
What is Domain?
200
Evaluate f(x)=2x+1 for f(-2).
What is -3?
200
Look at the table shown below:
What is the domain and range of this table?
Domain: {-2, 0, 4, 5}
Range: {14, 6, -10, -14}
200
State the range of the function {(4,-2),(-1,1),(2,-3),(3,0)}
What is {-2,1,-3,0}?
200
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
What is False, the points fail the vertical line test
300
The set of second coordinates in a relation or a function
What is the range?
300
Evaluate f(x)=-3 - x for f(6).
What is -9?
300
Look at the table below:
There's a question mark for one of the inputs. Which values could you put in that spot to make this NOT a function? (List all four values!)
32, 14, -2, and -10 (anything that would cause a repeated input).
300
Find the domain and range of {(-1,5),(2,3),(4,2),(-1,2)}
What is a domain of {-1,2,4} and a range of {5,3,2}?
300
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
What is NO because x repeats?
400
A relation that assigns exactly one value in the range to each value in the domain?
What is a function?
400
Evaluate f(x)=25 + 4x for f(5).
What is 45?
400
Is this mapping diagram an example of a function?
Yes; the domain does not repeat
400
Find the domain and range of {(-3,4),(0,10),(11,8),(4,5)}
What is a domain of {-3,0,11,4} and a range of {4,10,8,5}?
400
Is it a function?
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What is YES because it passes the Vertical Line Test?
500
The test to tell if a graph is a function
What is the Vertical Line Test?
500
Evaluate f(x)=-(4x+2) for f(7).
What is -30
500
Is this relation a function? Explain why (An answer of just "yes" or "no", without reasoning, will earn only half the points if correct).
This is not a function. Each input should have exactly one output - but there are some inputs that have no outputs.
500
Find the domain and range of {(-5,8),(-5,4),(6,9),(3,10)}
What is a domain of {-5,6,3} and a range of {8,4,9,10}?
500
Is it a function?
What is NO because it does not pass the Vertical Line Test?