Functions Flashcard

Front

What is a function in mathematics?

Back

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

Front

Which of the following sets of values represents a function? (6,-5), (7,-3), (8,-1), (9,1)

Back

Yes, this set represents a function because each x-value is unique.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

How can you determine if a table represents a function?

Back

Check if any x-value is repeated; if it is, the table does not represent a function.

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

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one corresponding y.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line, such as quadratic or exponential functions.