Front

What is a function in mathematics?

Back

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

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 relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value. This can be checked using the vertical line test.

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 value corresponds to multiple output values.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the next term in an arithmetic sequence?

Back

To find the next term in an arithmetic sequence, you add or subtract the common difference to the last term.

Front

What is a vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function by checking if any vertical line intersects the curve more than once.

Front

What is a mapping in mathematics?

Back

A mapping is a relation that pairs each element of one set with an element of another set.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.