Identifying Functions

Front

Is this a function or not a function?

Back

Not a Function

Front

What is the definition of a function?

Back

Every input has only ONE output.

Front

Which table below represents a relation that is not a function? Table A: x: 1, 2, 3, 4; y: 5, 6, 7, 8; Table B: x: 2, 2, 3, 4; y: 1, 2, 3, 4; Table C: x: 5, 6, 7, 8; y: 9, 10, 11, 12; Table D: x: 0, 1, 2, 3; y: 4, 5, 6, 7

Back

Table B: x: 2, 2, 3, 4; y: 1, 2, 3, 4

Front

How do you determine if a relation is a function?

Back

The vertical line test crosses only one point on the graph.

Front

Which set of ordered pairs is not a function? {(9, 5), (10, 5), (9, 5), (10, -5)}; {(3, 4), (4, -3), (7, 4), (3, 4)}; {(6, -5), (7, -3), (6, -1), (9, 1)}; {(2, -2), (5, 9), (5, -7), (1, 4)}

Back

{(6, -5), (7, -3), (6, -1), (9, 1)}

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function by checking if a vertical line crosses the graph at more than one point.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.