Is it a Function?

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the definition of a mapping?

Back

A mapping is a relationship between two sets that associates each element of the first set with exactly one element of the second set.

Front

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

Back

A mapping is a function if every input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if a vertical line intersects the curve at more than one point, 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.

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 the relation {(1, 2), (1, 3)}, where the input 1 is associated with two different 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 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 determine if a mapping is a function using a mapping diagram?

Back

In a mapping diagram, if each input is connected to exactly one output, then it represents a function.