Functions & Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols, typically written as f(x), where 'f' is the function name and 'x' is the input variable.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

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

How do you find f(2) if f(x) = 3x + 1?

Back

f(2) = 3(2) + 1 = 7.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, which assigns each x-value to its square.

Front

What is a relation?

Back

A relation is a set of ordered pairs (x, y) that may or may not be a function.

Front

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

Back

A relation is a function if each x-value is paired with exactly one y-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.