Identify Functions

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 graph represents a function. If any vertical line intersects the graph at more than one point, then the graph is not a function.

Front

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

Back

A relation is a function if every input (x-value) has exactly one output (y-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.

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 y^2 = x, because for some x-values, there are two corresponding y-values.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element in one set (domain) is paired with an element in another set (range).

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 which the function is defined.

Front

What is the range of a function?

Back

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

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.