BM F.1- Functions

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 is an input in a function?

Back

An input is the value that is put into a function, usually represented by x.

Front

What is an output in a function?

Back

An output is the value that comes out of a function after applying the input, usually represented by y.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input value has only one corresponding output 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 have 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.

Front

What is a function table?

Back

A function table lists input values and their corresponding output values, showing the relationship between them.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.