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Test 1 with 7 Questions for Applied Calculus | MATH 1125, Exams of Calculus

Material Type: Exam; Professor: Special; Class: Applied Calculus; Subject: Mathematics; University: Columbus State University; Term: Fall 2006;

Typology: Exams

Pre 2010

Uploaded on 08/04/2009

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Test 1
Math 1125
J. Special
Fall, 2006
Name:
Show all appropriate work. Circle your final answers.
x-3 -2 -1 0 1 2 3
f(x
)1 3 4 3 1 0.75 0.5
1. Based on the above table, evaluate the following:
a.
)0(f
b.
)2()2( ff
2. Given
12)(
2
xxxf
, find and simplify the following:
a.
)1(f
b.
)2(xf
3. Sketch the graph of
23 xy
. Make sure to label the x- and y-intercept and indicate the slope.
x- intercept:
y- intercept:
slope:
4. Decide which of the two given functions is linear and find its equation.
x0 3 6 10 15 Linear? (yes/no)
f(x) 0 3579
g(x
)
-1 5 11 19 29
Equation:
1
pf3

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Test 1 Math 1125 J. Special Fall, 2006 Name: Show all appropriate work. Circle your final answers. x -3 -2 -1 0 1 2 3 f(x )

  1. Based on the above table, evaluate the following: a. f^ (^0 ) b. f (^2 )^ f (^2 )
  2. Given f ( x ) 2 x^2  x  1 , find and simplify the following: a. f^ (^1 ) b. f ( x ^2 )
  3. Sketch the graph of y^ ^3 x ^2. Make sure to label the x - and y- intercept and indicate the slope. x - intercept: y- intercept: slope:
  4. Decide which of the two given functions is linear and find its equation. x 0 3 6 10 15 Linear? (yes/no) f(x) 0 3 5 7 9 g(x )

Equation:

  1. Break-Even Analysis: The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising “Eat-athon.” The society will charge students 50 cents per serving of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 15 cents per serving, and the $350 cost of renting the facility for the evening. a. What is the associated Cost function? b. What is the associated Revenue function? c. What is the associated Profit function? d. How many servings of pasta must the Audubon Society sell in order to break even?
  2. Equilibrium Price : You can sell 90 Chia pets each week if they are marked at $1 per Chia but only 30 each week if they are marked at $2 per Chia. Your Chia supplier is prepared to sell you 20 Chias each week if they are marked at $1 per Chia and 100 each week if they are marked at $2 per Chia. a. What is the associated linear demand function? b. What is the associated supply function? c. At what price should the Chias be marked so that there is neither a surplus nor a shortage of Chias?