Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the set of points (1,2), (2,3), (3,4), (1,5) a function?

Back

No, because the input value '1' corresponds to two different output values (2 and 5).

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with multiple outputs.

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 a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

Front

If a function has an input of 3 and outputs of 4 and 5, is it a function?

Back

No, it is not a function because the input '3' has two outputs.

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

Is the relation {(2,3), (3,4), (2,5)} a function?

Back

No, because the input '2' corresponds to two different outputs (3 and 5).

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 1, where each input x has a unique output.