Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

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

Front

What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element (input).

Front

Is the set {(1,2), (2,3), (1,4)} a function?

Back

No, because the input '1' is associated with two different outputs (2 and 4).

Front

What is a mapping diagram?

Back

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

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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

Is the graph of y = x^2 a function?

Back

Yes, because for every x-value, there is exactly one 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' corresponds to two different outputs.