Function Not A Function Flashcard

Front

What is a function?

Back

A function is a relation where each input (x-value) has 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

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

Back

A relation is not a function if at least one input is associated with more than one output.

Front

How can you tell if a graph is a function?

Back

A graph is a function if it passes the vertical line test.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has one corresponding y-value.

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 the equation y^2 = x, where each x-value can correspond to two y-values.

Front

What does the term 'input' refer to in a function?

Back

The input refers to the value you provide to a function, usually represented as x.

Front

What does the term 'output' refer to in a function?

Back

The output refers to the value that results from applying the function to the input, usually represented as y.

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 output.