Functions

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 does it mean for a function to have a range of f(x) ≥ 2?

Back

It means that the output values of the function are all greater than or equal to 2.

Front

Define a function in mathematical terms.

Back

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

Front

What is the difference between a function and not a function?

Back

A function has one output for each input, while a relation that is not a function has at least one input with multiple outputs.

Front

Which of the following is a function: (2,3), (2,4), (3,5) or (1,2), (1,3), (2,4)?

Back

(2,3), (2,4), (3,5) is a function because each input has a unique output.

Front

What is the domain of a function?

Back

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

Front

How do you determine if a mapping is a function?

Back

A mapping is a function if each input is paired with exactly one output.

Front

What is an example of a function?

Back

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

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 does it mean if a function is increasing?

Back

A function is increasing if, as the input values increase, the output values also increase.