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Calculus 1, Math 131 B, Candy bar Quiz 1, 1-28-00
  1. If you drive an Ace Rental car x miles, then Ace charges you f(x) dollars. A graph of f(x) is shown below. Use the graph to answer the following questions.
    1. If you drive 100 miles, how much does Ace charge you for the rental?

      2.  

       
       
       

    2. If you drive 200 miles, how much does Ace charge you?

      3.  

       
       
       

    3. For x > 100, the graph of f(x) is a line. Find the slope of this line and then an equation for this line.

      4.  

       
       
       
       
       
       

    4. The units for the slope in part (c) are dollars per mile. Explain Ace's rental car charges in plain English.

     
     
     
     
     
     
     
  1. A graph of g(x) is shown below. Use the graph to answer the following questions.
    1. On which x-interval(s) is g(x) decreasing?

      2.  

       
       
       
       
       
       
       

    2. At which x value does it look like g(x) is decreasing the fastest?

      3.  

       
       
       
       
       

    3. Estimate g(2) and g(4), then find the equation of the secant line through (2, g(2) ) and (4, g(4) ).