Course: MATH 1414 Master 2017/2018

PLS ANSWER ALL

UNIT 1 EXAM

1. 4x + y Evaluate the algebraic expression for x = - 3 and y = 6. xy - 4x 4x+ y For x= - 3 and y = 6, xy - 4x (Simplify your answer.)12. Solve the radical equation. Check all proposed solutions. Vx+4 - vx -5 =1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is { (Use a comma to separate answers as needed. Simplify your answer.) O B. The solution set is O.16. Use the graph to determine a. open intervals on which the function is increasing, if any. b. open intervals on which the function is decreasing, if any. N- c. open intervals on which the function is constant, if any. 7-6-5-48-2-1 a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. There is no interval on which the function is increasing. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is decreasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. There is no interval on which the function is decreasing. c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is constant on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. There is no interval on which the function is constant.20. a. Reunite the given equation 53-: + By -45 = 0 slope-intercept farm. b. Give the slope and y-interoept' c. Use the slope and y-lnteroept to graph the linear function. a. The slope-intercept form of the equation is {Simplify your answer. Use integers or fractions for any numbers in the equation.)- b. The slope of the equation of the line is and the y-interoept is {Type integers or fractions.) 1;. Use the slope and the y-intercept to graph the line. 24. First find f + g, f- g, fg and -. Then determine the domain for each function. f(x) =2x +7x - 30, g(x) =x+6 (f+ 9)(x) = (Simplify your answer.) What is the domain of f+ g? O (3,00) O (- 00,00) O (- 00,3)U(3,00) [0,00) (f -g)(x) = (Simplify your answer.) What is the domain of f - g? O -00. 7 1 7.00 O (-00,00) O [0,00) O (3,00) (fg)(x) = What is the domain of fg? O (-00, - 6)U( - 6,00) (6,00) O (- 00,6)U(6,00) O (-00,00) (:) ()= (Simplify your answer.) What is the domain of -? O (-00, - 6)U( - 6,00) [0,00) O (-6,00) O (-00,00)28. Use the leading coefficient test to determine the end behavior of the graph of the given polynomial function. f(x) = 4x - 4x# + 6x2+6 O A. Falls left & rises right. O B. Rises left & rises right. O C. Rises left & falls right. O D. Falls left & falls right. O E. None of the above.32. Write a polynomial that represents the length of the rectangle. The width is x +0.9 units. The area is 0.3x +0.57x-+0.67x+0.36 square units. The length is units. (Use integers or decimals for any numbers in the expression.)36. Use the graph of the rational function to complete the following statement. As x - - 3* , f(x) - As x - - 3 , f(x) - -10 8 6 41-25 4 6 8 10 Asymptotes are shown as dashed lines. The horizontal asymptote is y = -3. The vertical asymptotes are x = - 3 and x = 2.4. Factor the following perfect square trinomial. 196x + 28x + 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. 196x2+ 28x + 1= (Factor completely.) O B. The polynomial is prime.40. The perimeter of a rectangle is 44 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 112 square feet. Express the possible lengths of a side. (Type your answer in interval notation.)8. For the following equation, a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 4 3 3x x+4 x - 4 x- 16 a. Write the value or values of the variable that make a denominator zero. (Use a comma to separate answers as needed.) b. What is the solution of the equation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Use a comma to separate answers as needed.) . O B. The solution set is {x | x is a real number). O C. The solution set is