function

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value (x), there is one and only one output value (y).

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If a vertical line intersects the curve at more than one point, then the curve is not a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for every value of x, there is a unique value of f(x).

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is y^2 = x, because for some values of x, there are two corresponding values of y.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent points in a coordinate system, typically written as (x, y).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

The range of a function is the set of all possible output values (y) that the function can produce.

Front

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

Back

A function is one-to-one if it assigns a unique output for every unique input, meaning no two different inputs produce the same output.

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 f(x) = mx + b, where m is the slope and b is the y-intercept.