Question

Functions are everywhere! Give 3-4 examples of a function, and at least one non-function. How do you know?

Answer 1

Functions are mathematical relationships that have unique output values for every input value. Examples of functions include the area of a square, temperature conversions, and distance traveled by a car. A non-function example is the equation of a circle, which violates the unique output value requirement.

Step-by-step explanation:

Examples of Functions:

1. The function that relates the area of a square to its side length, where A = s^2
2. The function that converts Fahrenheit temperature to Celsius temperature, where C = (F - 32) * (5/9)
3. The function that represents the distance traveled by a car over time, where d = vt

Example of a Non-Function:

The equation of a circle, where x^2 + y^2 = r^2, is an example of a non-function because for any given value of x, there are two possible values of y. This violates the definition of a function, which states that for every input value, there must be a unique output value.