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Math 1320 Exam 1A: Solving Quadratic Functions, Linear Regression, and Demand Functions - , Exams of Mathematics

Math 1320 exam 1a from september 17, 2008. The exam covers various topics, including identifying the direction of a parabola, finding the vertex, x-intercepts, y-intercept, slope of a line, interpreting the slope of a regression line, graphing a function, finding the linear demand function, revenue function, and maximum revenue. Students are required to show all work for partial credit.

Typology: Exams

Pre 2010

Uploaded on 08/19/2009

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Math 1320 Name:
D. Wilson
Exam #1A
Wednesday, September 17, 2008
Show all work for partial credit. Good luck!
#1 /20
#2 /10
#3 /20
#4 /30
#5 /20
Total /100
You have Exam # .
If I do not receive this exam by the end of class, you will receive a
score of zero.
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Download Math 1320 Exam 1A: Solving Quadratic Functions, Linear Regression, and Demand Functions - and more Exams Mathematics in PDF only on Docsity!

Math 1320 Name: D. Wilson

Exam #1A

Wednesday, September 17, 2008 Show all work for partial credit. Good luck!

Total /

You have Exam #.

If I do not receive this exam by the end of class, you will receive a

score of zero.

Please note: All work must be shown for this problem. No credit will be given if only a graphing calculator is used to obtain the answers.

  1. Consider the parabola given by the equation f (x) = x^2 − 20 x − 800. (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.

  1. For a price of $4 each, a large department store is prepared to buy 3800 of a company’s neon-colored shower curtains; but for a price of $9 each, the store will buy only 3600 shower curtains. (a) (12 points) Find the linear demand function for the company’s neon-colored shower curtains. 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.

  1. Consider the function f (x) = 4x^2 − 6 x + 11. (a) (3 points) Find f (−2).

(b) (6 points) Find and simplify the expression f (x + h).

(c) (8 points) Find and simplify the expression f^ (x^ +^ h h)^ −^ f^ (x).

(d) (6 points) Let f (x) = 4x^2 − 6 x + 11 and g(x) = 6x^3. Find and simplify f (g(x)).