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MBA.Graduate Psychology,PHD in HRM
Strayer,Phoniex,University of California
Feb-1999 - Mar-2006
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Math 107 Quiz 2 Spring 2017 OL4Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Professor: Dr. Katiraie                                   Name________________________________
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Instructions:
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Please remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer.Â
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Here are the basic rules of showing work:
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a) Each step should show the complete expression or equation rather than a piece of it.
b) Each new step should follow logically from the previous step, following rules of algebra.
c) Each new step should be beneath the previous step.
d) The equal sign, =, should only connect equal numbers or expressions.
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Our textbook is full of good models of work shown correctly. If you have questions about showing work, please ask.
Please Show or Explain Your Work on Each Problem.
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1)Â Find the distance d between the points and the midpoint M of the line segment which connects them.
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(-3 , -10) , (-1 , -5)
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2) Let’s assume for a moment that we are standing at the origin and the positive y-axis points due North while the positive x-axis points due East. Our Sasquatch-o-meter tells us that Sasquatch is 5 miles East and 6 miles South of our current position. What are the coordinates of his position? How far away is he from us? If he runs 8 miles due West what would his new position be?
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3)Â For the function below
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a)Â Â Â Â Â Find the x- and y-intercept(s) of the graph, if any exist
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b)Â Â Â Â Â Follow the procedure in Example 1.2.3 to create a table of sample points on the graph of the equation.
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c)Â Â Â Â Â Â Plot the sample points and create a rough sketch of the graph of the equation.
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d) Test for symmetry. If the equation appears to fail any of the symmetry tests, find a point on the graph of the equation whose reflection fails to be on the graph as was done at the end of Example 1.2.4Â
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4)Â Â Â Â Â Â Â Â For the following piecewise function, find the specified function values
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a)Â Â Â Â Â Â f(-4)
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b)Â Â Â Â Â Â f (-2)
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c)Â Â Â Â Â f(0)
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d)Â Â Â Â f(4)
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e)Â Â Â Â Â f(10)
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5)Â For the following pair of functions,
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Find each of the following, and State its Domain:
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a)      Find (f + g)(x)
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b)     Find (f – g)(x)
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c)Â Â Â Â Â Find (f*g)(x)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (Hint, this means f(x) times g(x))
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d)Â Â Â Â Find (f*f)(x) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (Hint: this means f(x) times f(x)
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e)Â Â Â Â Â Find (f/g)(x)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (Hint:Â this means f(x) divided by g(x)
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6) Find and simplify the difference quotient Â
for the following function. (Hint: Please see page 79 in Section 1.5)
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7)Â Find and simplify the difference quotient Â
for the following function. (Hint: Please see page 79 in Section 1.5)
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8)Â Find and simplify the difference quotient Â
for the following function. (Hint: Please see page 79 in Section 1.5)
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9) The cost, is C(x) = 4000 + 500x
And the price-demand function, is p(x) = 2000 – 60x          1 ≤ x≤25
Where x is in thousands of computers, C(x) is in thousands of dollars, and p(x) denotes the wholesale price (in dollars) per computer at which x thousand computers can be sold. (Hint:Â Please see page 82 in section 1.5)
Please answer the following:
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a)Â Â Â Â Â Find and interpret C(0).
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b)Â Â Â Â Â Find and interpret C(10).
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c)Â Â Â Â Â Find and interpret p(5)
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d)Â Â Â Â Find R(x).
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e)Â Â Â Â Â Find and simplify P(x).
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f)Â Â Â Â Â Â Solve P(x) = 0 and interpret.
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10)Â The cost, is C(x) = 125 + 16x
And the price-demand function, is p(x) = 75 – 3x            1 ≤ x≤20
Where x is in millions of chips, C(x) is in millions of dollars, and p(x) denotes the wholesale price (in dollars) per chip at which x millions chips can be sold. (Hint:Â Please see page 82 in section 1.5)
Please answer the following:
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a)Â Â Â Â Â Find and interpret C(0).
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b)Â Â Â Â Â Find and interpret C(10).
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c)Â Â Â Â Â Find and interpret p(5)
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d)Â Â Â Â Find R(x).
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e)Â Â Â Â Â Find and simplify P(x).
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End of Quiz 2: please do not forget to write and sign (or type) the required statement explained in the box above Part I of the Quiz 2.                                                     Â
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