Intro to Functions Vocab Flashcard

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 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

What does the term 'domain' refer to in functions?

Back

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

Front

What does the term 'range' refer to in functions?

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 set of points represents a function?

Back

A set of points represents a function if no two points have the same x-coordinate.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the input of a function?

Back

The input of a function is the value that is put into the function, typically represented by the variable x.

Front

What is the output of a function?

Back

The output of a function is the value that results from applying the function to the input, typically represented by the variable y.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a non-linear function?

Back

A non-linear function is a function that does not graph to a straight line and can include quadratic, exponential, and other types of functions.