Functions Review

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 are all the x values of a function called?

Back

Domain

Front

What is a function?

Back

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

Front

What are all the y values of a function called?

Back

Range

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input value (x) corresponds to exactly one output value (y).

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.

Front

What is the range of the function f(x) = x^2?

Back

The range is [0, ∞) because the output values are always non-negative.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

What is a vertical line test?

Back

A vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

What is an example of a function?

Back

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