functions or not functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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, then it is not a function.

Front

Can a function have the same x-value for different y-values?

Back

No, a function cannot have the same x-value for different y-values.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

Which of the following is a function? (3, 4), (3, 5), (4, 6)

Back

This is not a function because the x-value 3 is associated with two different y-values (4 and 5).

Front

What does it mean for a relation to be a function?

Back

It means that for every input (x-value), there is exactly one output (y-value).

Front

Give an example of a function.

Back

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

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

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

Front

Is the set {(1, 2), (2, 3), (3, 4)} a function?

Back

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