You need to do the graph on your own paper

Review                                                  Name: __________________________________
Unit 2: Intro to Functions & Equations

            1. Which of the following are functions? Not Functions? Why?




          2. For the situation given, create a table, a function rule and a graph. Make sure to scale and label your
             graph.

                  Situation: Every sandwich costs $5.                  Function Rule:
                  Let x = number of sandwiches
                  Let y = amount of money spent

                  Table:                                               Graph




            3. Two examples are shown below. Answer the questions:
                                                   a) Which graph shows a proportional linear relationship?
                                                   Explain how you know.




                                                                  b) Consider this question, provide an answer and
                                                         justification for each company: If the input were to double, will
                                                    the output

                                                         double?


    4) Answer these questions about Metacognition:
        a) What is metacognition?


        b) How is metacognition helpful in learning?



        c) Give some examples of metacognition questions that you can ask yourself while working on problems.



    5) Consider the function rule f ( x )=2 x−3

    a. Find f (4)                                 b.     Find f (−2)

    b. Show or explain how the equation 2 x−3=53 can be solved using the “undoing process”. Report a
       solution to the equation



    6) Consider the function rule f ( x )=−3 x +10
        a) Find f (4)                     b)    Find f (−2)

    c. Show or explain how the equation −3 x +10=46 can be solved using the “undoing process”. Report a
       solution to the equation

                               3+ x
7) Consider the rule h (x )=
                                2
        a) Find f (3)                   b) Find f (12)


Situation: A DJ will play music for your restaurant. The DJ charges $20 per hour plus a $50 appearance fee. Represent
the relationship between the number of hours the DJ works and the total cost of hiring the DJ.

    a) Define the variables in this situation:
    ● Let ____ = ___________________________                       Let ____ = ___________________________
    ● Independent variable: ________________________               Dependent Variable: ___________________________

    b) Complete the table:
            Hours the DJ            Process             Cost of the DJ
              Worked

                 0

                 1

                 2

                 3

                 10

                 50
                                                                   Create a graph. Label & Scale your axes
        d) Explain whether an input value of 4.5
        makes sense in the context of this problem.




        e) How much does it cost to book the DJ for 6
        hours? Explain how you found your situation.




        f) How many hours can you book the DJ for
        $270? Explain how you found your situation.


Review                                                  Name: __________________________________
Unit 2: Intro to Functions & Equations

            1. Which of the following are functions? Not Functions? Why?




          2. For the situation given, create a table, a function rule and a graph. Make sure to scale and label your
             graph.

                  Situation: