Is it a Function?

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

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 relation to be a function?

Back

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

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 map to only one output.

Front

What is an example of a function?

Back

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

Front

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

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

How can you determine if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input is connected to only one output.

Front

What is the definition of a mapping diagram?

Back

A mapping diagram is a visual representation of a function that shows how each input is paired with an output.

Front

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

Back

The x-value (input) in a function determines the corresponding y-value (output); each x-value must be unique.

Front

What does it mean if a graph is not a function?

Back

If a graph is not a function, it means that at least one input is associated with more than one output.