test1a - MAC 2233/001-006 Business Calculus, Fall 2011 TEST...

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Unformatted text preview: MAC 2233/001-006 Business Calculus, Fall 2011 TEST I Name: (1 point) Date: 09/22/2011 Time allowed: 50 minutes Section: (1 point) Show ALL steps. Fifty points equal 100% Name of your help-session teacher: (1 point) Question 1 . (8 points, 1 point for each part) The following diagram shows the graphs (labeled from A to H) of eight equations. Match each of the following equations with its graph. (Explanation is not needed.) (a) y = ( x + 1) 2 + ( y- 3) 2 = 4. Answer: C (b) y = | ( x- 3)( x + 2) | - 3. Answer: A (c) y = ( x- 3)( x- 1)( x + 2). Answer: F (d) y = 2 x- √ 4 x 2- 4 x + 7. Answer: D (e) y = √ x + 3- 1. Answer: B (f) y = x +2 x − 1 . Answer: E (g) √ 4 x 2 − 4 x +7 2 x +3 . Answer: H (h) y = x 2 x 2 − 4 . Answer: G Question 2 . (5 points) True or false. Explanation is not needed. (a) x 2 + y 2- 4 xy = 9 is not an equation of a circle because of the 4 xy term. Answer: T . (b) If the limit lim x → c f ( x ) does not exist, then f ( c ) is not defined. Answer: F . (c) If x = c is a removable discontinuity of a function f , then lim x → c f ( x ) exists. Answer: T . (d) If f ′ ( c ) exists, then f is continuous at x = c . Answer: T . (e) If dP dx > 0, then a small decrease in x results in a higher value for P . Answer: F . Keeping Scores : Question Bonus 1 2 3 4 5 6 7 8 Total Score Out of 3 8 5 7 7 8 6 4 7 55 1 Question 3 . (7 points) Answer the following questions about the graph of a function y = f ( x ) given on the right. Explanation is not needed . (a) Evaluate lim x → 2- f ( x ). Solution. The answer is 6 . (The explanation is as follows....
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This note was uploaded on 01/02/2012 for the course MAC 2233 taught by Professor Danielyan during the Fall '08 term at University of South Florida - Tampa.

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test1a - MAC 2233/001-006 Business Calculus, Fall 2011 TEST...

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