Week 8 Discussion: Understanding FunctionsRequired ResourcesRead/review the following resources for this activity:OpenStax Textbook ReadingsLesson in CanvasAssignments in KnewtonThe Vertical Line Test and Graphs of FunctionsGraph a Quadratic EquationRadical FunctionsInitial Post InstructionsIn the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:C = (5/9)*(F – 32), where F is the Fahrenheit temperature and C is the Celsius temperature.If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?Our input is 77.C = (5/9)*(77 – 32)C = (5/9)*(45)C = 25The equivalent temperature is 25 degrees Celsius.To complete the Discussion activity, please do the following:Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).Arm length is a function of height.The circumference of a circle is a function of diameter.The height of a tree is a function of its age.The length of person’s shadow on the ground is a function of his or her height.Weekly salary is a function of the hourly pay rate and the number of hours worked.Compound interest is a function of initial investment, interest rate, and time.Supply and demand: As price goes up, demand goes down.Follow-Up Post InstructionsRespond to at least two peers in a substantive, content-specific way. Further the dialogue by providing more information and clarification.