Is it a Function?

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

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

Back

Yes, this mapping is a function because each input has a unique output.

Front

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

Back

No, this mapping is not a function because the input '1' has two different outputs (2 and 3).

Front

What does it mean for a relation to be not a function?

Back

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

Front

Which graph passes the vertical line test?

Back

A graph that passes the vertical line test will only be intersected by a vertical line at one point for every x-value.

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 an example of a function?

Back

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

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 outputs.

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 the function.