Function or not

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 a relation?

Back

A relation is a set of ordered pairs, which can include multiple outputs for a single input.

Front

How can you determine if a relation is a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of 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 the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function can have multiple outputs for a single input.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input and output values.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if a vertical line crosses the graph more than once.

Front

What is a domain in a function?

Back

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