Identifying Functions

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

Which set of ordered pairs is a function? {(9,5), (10,5), (9,-5), (10,-5)}; {(3,4), (4,-3), (7,4), (3, 8)}; {(6,-5), (7, -3), (8, -1), (9, 1)}; {(2, -2), (5, 9), (5, -7), (1, 4)}

Back

{(6,-5), (7, -3), (8, -1), (9, 1)}

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

Which graph is NOT a function? (Graph 1, Graph 2, Graph 3, Graph 4)

Back

Graph 1

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can include functions.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x-value, there is one corresponding y-value.

Front

What is an example of a non-function?

Back

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

Front

What is the importance of the x-value in a function?

Back

The x-value (input) determines the corresponding y-value (output) in a function.

Front

What happens if a function has two outputs for the same input?

Back

If a function has two outputs for the same input, it is not a function.