Functions (mapping and graphs)

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Does this represent Y as a function of X? (Example: Y = 2X + 3)

Back

Yes

Front

Is this table a function or not a function? (Example: (1,2), (1,3), (2,4))

Back

Not a Function

Front

How can you determine if a table or ordered pairs represents a function?

Back

For every x-value, there is only one y-value.

Front

Which set of values is a function? (Example: (1,2), (2,3), (3,4))

Back

(1,2), (2,3), (3,4) is a function.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What are inputs and outputs in a function?

Back

Inputs are the x-values, and outputs are the corresponding y-values.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs.

Front

What is a one-to-one function?

Back

A function where each output is paired with exactly one input.

Front

What is a mapping diagram?

Back

A visual representation of a function showing how each input is paired with an output.