Function Practice

Front

What is a function?

Back

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

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

What is the output in a function?

Back

The output is the y-value in a function, which corresponds to a given input (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What does it mean if a mapping is not a function?

Back

If a mapping is not a function, it means that at least one input (x-value) is associated with more than one output (y-value).

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If any horizontal line intersects the graph more than once, the function is not one-to-one.

Front

What is an example of a function?

Back

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

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 different outputs.

Front

What is a mapping?

Back

A mapping is a relationship between two sets that pairs each element of the first set with an element of the second set.