Function Notation

Front

What is function notation?

Back

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

Front

What does f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

What is the vertical line test?

Back

The vertical line test is a method used 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 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

If f(x) = 2x + 3, what is f(4)?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What is an independent variable in a function?

Back

The independent variable is the input value (usually x) that can be changed freely in a function.

Front

What is a dependent variable in a function?

Back

The dependent variable is the output value (usually y) that depends on the input value of the function.

Front

If g(x) = x^2, what is g(3)?

Back

g(3) = 3^2 = 9.

Front

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

Back

A relation is a function if each input value (x) is associated with exactly one output value (y).