Slope Intercept - Mathematics - Exam, Exams of Mathematics

Main points of this past exam are: Slope Intercept, Equation, Straight Line, Parallel, Point, Graph, Asymptote

Typology: Exams

2012/2013

Uploaded on 03/31/2013

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Name
MA 112
Final Exam
May 3, 2004
This exam contains 8 problems. You will have 120 minutes to take the
exam. Please ask if you find any problem unclear.
Show all your work and circle the final answers.
Problem #1 #2 #3 #4 #5 #6 #7 #8 TOTAL
Possible 10 15 15 20 20 25 25 20 150
Points
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Name

MA 112

Final Exam

May 3, 2004

This exam contains 8 problems. You will have 120 minutes to take the exam. Please ask if you find any problem unclear.

Show all your work and circle the final answers.

Problem #1 #2 #3 #4 #5 #6 #7 #8 TOTAL

Possible 10 15 15 20 20 25 25 20 150

Points

1. Find the slope-intercept equation of the straight line passing through

the point (1, −1) and parallel to the line y = 2x + 7.

2. Sketch the graph of f (x) = 3 + 2x+1. Clearly mark the asymptote(s)

and intercept(s).

5. For the function f (x) = − 2 x^2 + 4x + 1

(a) find the zeros, (b) find the vertex, (c) find the line of symmetry (d) find the intervals where f (x) increases or decreases.

6. Solve the inequality and write the solution using the interval

notation. Show your work.

(a) (x+2)(x−1) > 0

(b)

x^2 − 4

x + 2

8. Suppose you deposited $1000 into a savings account with the interest

rate 5%. (a) If the interest is compounded annually, find the formula A(t) for the amount of money in the account after t years. (b) If the interest is compounded continuously, find the formula A(t) for the amount of money in the account after t years. (c) If the interest is compounded continuously, after how many years you will have $2000 in this account? (Express your answer using logarithm(s), do not evaluate.)