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To find the inverse of a function, swap the x"s and y"s and make y the subject of the formula. This is the equation form of the rule that relates the inputs of this table to the outputs. Another example of a function is displayed in this menu. On a graph, a function is one to one if any horizontal line cuts the graph only once. You can test out of the For example the inverse of y = 2x is y = ½ x . Similarly, to get from -1 to 1, we add 2 to our input. and career path that can help you find the school that's right for you. The following is a list of mathematical symbols used in all branches of mathematics to express a formula or to represent a constant.. A mathematical concept is independent of the symbol chosen to represent it. Circles, squares and other closed shapes are not functions, but parabolic and exponential curves are functions. Given the following table. Log in or sign up to add this lesson to a Custom Course. A function is a rule which maps a number to another unique number. Therefore, the cost of a drink is a function of its size. For example, y = x + 1 is a function because y will always be one greater than x. Equations with exponents can also be functions. 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Whereas, a function is a relation which derives one OUTPUT for each given INPUT. If f(x) = 3x, and y is a function of x (i.e.