Functions: Mapping, Tables, and Points

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the vertical line test?

Back

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

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

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 does 'input' refer to in a function?

Back

Input refers to the value that is put into a function, typically represented as x.

Front

What does 'output' refer to in a function?

Back

Output refers to the value that comes out of a function after applying the input, typically represented as y.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each input is paired with an output in a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each x-value, there is a unique y-value.

Front

What is NOT a function?

Back

A relation where an input is associated with more than one output is not a function.

Front

What is a point in the context of functions?

Back

A point is a specific location on a graph, represented as (x, y), where x is the input and y is the output.