Math 1320 Name:D. WilsonExam #1BWednesday, September 17, 2008Show all work for partial credit. Good luck!#1 /20#2 /30#3 /20#4 /10#5 /20Total /100You have Exam # .If I do not receive this exam by the end of class, you will receive ascore of zero.1. Consider the function f(x) = 2x2− 4x − 8.(a) (3 points) Find f (−3).(b) (6 points) Find and simplify the expression f(x + h).(c) (8 points) Find and simplify the expressionf(x + h) − f(x)h.(d) (6 points) Let f (x) = 2x2− 4x − 8 and g(x) = 3x4. Find and simplify f(g(x)).2. For a price of $6 each, a large department store is prepared to buy 3800 of a company’sneon-colored shower curtains; but for a price of $11 each, the store will buy only 3500shower curtains.(a) (12 points) Find the linear demand function for the company’s neon-colored showercurtains.Use the variables p and q.(b) (8 points) Find the revenue function. Include the units.Recall that revenue is price x quantity.(c) (10 points) Find the maximum revenue. Include the units.Please note: All work must be shown for this problem. No credit will be givenif only a graphing calculator is used to obtain the answers.3. Consider the parabola given by the equation f (x) = x2+ 10x − 200.(a) (4 points) Does the parabola curve upward or downward? How do you know?(b) (6 points) Find the vertex of the parabola.(c) (6 points) Find the x-intercept(s), if they exist.(d) (4 points) Find the y-intercept.4. (a) (5 points) Find the equation of the line with slope −1 and passing through the point(3, −4).(b) (5 points) A table (which is not shown) gives the average price of a two-bedroomapartment in downtown New York City from 1994 to 2004 (t = 0 represents 1994).Using linear regression analysis, it was found that the price was given byp(t) = 0.13t + 0.23 million dollars.Write a sentence that interprets the slope of the regression line.5. (20 points) Graph the function on the axes provided.f(x) =−x2if − 3 ≤ x < 0−73x + 1 if 0 ≤ x <
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