Is it a Function?

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a graph of a function. If a vertical line intersects the graph at more than one point, then it is not a function.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input. Each input must correspond to exactly one output.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

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

Back

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

Front

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

Back

Yes, this relation is a function because each input corresponds to exactly one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x + 2, where for every input x, there is a unique output.

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.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if different inputs always produce different outputs.