MA 103 Final Exam Review Sheet - Fall 2010

MA 103 Final Exam Review Sheet - Fall 2010 - MONTGOMERY...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
MONTGOMERY COLLEGE GERMANTOWN CAMPUS MA 103 Final Exam Review Sheet (Revised Spring 2009) This is a review sheet. The actual final examination will be different. 1. Which of the following graphs i) Represents a function? Give a reason for your answer. ii) Represents a 1-1 function? Give a reason for your answer. a) -4 -2 0 2 y -4 -2 2 4 x b) -40 -20 0 20 -4 -2 2 4 x c) -4 -3 -2 -1 0 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2. Let the following be a graph of a function f . Sketch a graph of the line x y = and a graph 1 - f on the same set of axes. 3. Find an equation of the inverse of the function. 3 ( ) 1 f x x = + 4. a) If ( 29 3 7 x f x = - find ( 29 1 f x - b) If x x g 2 ) ( = find ( 29 1 g x - c) Below is the graph of ( 29 h x . Approximate ) 4 ( 1 - h 5. What are the domain and the range of the following function if the entire graph is shown? Express your answers using interval notation. 2 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Background image of page 2
6. Find h and k such that 2 ( ) y x h k = - + is the equation whose graph is shown below. 7. Graph the following equation and write the exact coordinates of the vertex and x-intercepts. 2 ( ) 2 7 4 f x x x = - - 8. Find the vertex of the quadratic function by using the following three methods. 3 2 ) ( 2 + + = x x x f (a) Graphing (b) a b x 2 - = (c) Completing the square 9. Which of the following ordered pairs is a solution of the equation 2 2 1 x x y - - = , and which are not. Explain your answer. ( 29 2 , 1 - ( 29 7 , 2 - ( 29 1 , 0 ( 29 3 , 1 10. Which of the following relations represents a function, and which does not. Give a reason for your answer. A = {(2, 5),(4, 7),(7, 9),(8, 11)} B = {(1, 3),(2, 3),(2, 6),(3, 8)} 11. For 4 ) ( 2 - = x x f find and simplify ) 2 ( + t f . 12. Solve each equation for x . a) 14 5 2 = - x x b) 0 66 7 5 2 = - + x x c) 0 3 2 2 3 = - - x x x d) 0 16 3 = - x x e) 0 8 2 3 1 3 2 = - - x x f) 6 7 2 3 1 3 2 - = + x x 13. Use the discriminant to determine the number and type of solutions of the equation. 8 2 3 2 + - = x x 14. Solve the equation by completing the square. x x 10 4 2 = - 3
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
15. The equation giving the height of an object thrown upwards starting at 12 feet above the ground is 2 16 40 12 ) ( t t t h - + = . a) When will the object reach its maximum height? b) What is its maximum height? c) When will the object hit the ground? 16. A company started business in 1995. Assume that the company has a profit per year given by the equation 37 . 2 56 . 2 19 . 0 ) ( 2 - + - = t t t f where ) ( t f represents the amount of profit in millions of dollars and t is the number of years since 1995. a) Use f to predict the amount of profit in 2003. b) Find t when 23 . 4 ) ( = t f . What do your results mean in terms of this company’s profits? c)
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/04/2011 for the course MATH 103 taught by Professor Alraban during the Fall '10 term at Montgomery College.

Page1 / 12

MA 103 Final Exam Review Sheet - Fall 2010 - MONTGOMERY...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online