Lynch, October 2016 Page 1 of 5. Math 150, Fall 2016 Exam 2 Form A Multiple Choice Sections 3A-5A

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1 Lynch, October 2016 Page 1 of 5 Math 150, Fall 2016 Exam 2 Form A Multiple Choice Sections 3A-5A Last Name: First Name: Section Number: Student ID number: Directions: 1. No calculators, cell phones, or other electronic devices may be used, and they must all be put away out of sight. 2. There are 11 multiple choice problems on this exam, and each problem is worth 5 points. No partial credit will be given. 3. Together with the other part of the exam there will be a total of 105 points possible. 4. The Scantron will not be returned to you, so please mark your answers on this exam paper. 5. You may not discuss the contents of the exam with anyone until the exam is returned in class. THE AGGIE CODE OF HONOR On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work. Signature: Note: You are authorized to use a pencil, eraser, TAMU Scantron, and your own TAMU student ID; use of anything else is a violation of the honor code. If you need any extra paper, please ask your instructor or TA; do not use your own. Scantron: Make sure the following is filled out correctly on your Scantron: Last Name, First Name, Course #, Section #, UIN, Signature, Date: Oct. 2015, Exam 2, Form A

2 Lynch, October 2016 Math 150 Exam 2A Page 2 of 5 1. Find the x-intercepts of the equation x 2 x 4 y 6 4 = y 5. (a) no x-intercepts (b) 3 (c) 2 (d) 3, 3 (e) 2, 2 2. x 3 y + 3 x + 5y 2 = x y. (a) Symmetric about the origin only (b) Symmetric about the x-axis only (c) Symmetric about the y-axis only (d) Symmetric about the x-axis, y-axis, and origin (e) Not symmetric about the x-axis, y-axis, or origin 3. Find the perpedicular bisector of the line segment with endpoints (1, 5) and (3, 3) (a) y = 4x + 5 (b) y = 4x + 9 (c) y = 4x 7 (d) y = 1 4 x (e) y = 1 4 x + 1 2

3 Lynch, October 2016 Math 150 Exam 2A Page 3 of 5 4. Find the domain of the function f(x) = (a) [ 3, ) (b) [ 3, 2) (2, ) (c) (, 5) ( 5, 2) (2, ) (d) (, 5) ( 5, 3) ( 3, 2) (2, ) (e) (, 5) [ 3, 2) (2, ) 2x + 6 x 2 + 3x The following is the graph of a function f(x). Decide which of the following statements about the function is FALSE. (a) f(x) is increasing on [ 4, 0] and [4, 8] (b) f(x) is decreasing on [ 8, 4] and [0, 4] (c) f(x) is not one-to-one (d) f(x) is an odd function (e) the range of f(x) is [ 4, 4] 6. Describe the end behavior of the polynomial p(x) = (5x 3x 3 )(x 8 + x 5 ) (a) as x, p(x), and as x, p(x) (b) as x, p(x), and as x, p(x) (c) as x, p(x), and as x, p(x) (d) as x, p(x), and as x, p(x) (e) none of the above

4 Lynch, October 2016 Math 150 Exam 2A Page 4 of 5 7. An open box is constructed from a piece of cardboard that is 3 feet by 5 feet by cutting squares of equal length from each corner and turning up the sides. Write a function for the volume of the cardboard box in terms of the length x of the cutout square. (a) V (x) = (3 x)(5 x) (b) V (x) = x(3 x)(5 x) (c) V (x) = (3 2x)(5 2x) (d) V (x) = x(3 2x)(5 2x) (e) V (x) = 15x x 2 3 x if x < 0 8. For f(x) = 11 if 0 x < 1, calculate x + 4 if x 1 (a) 2 f(5) + f(0). f( 4) (b) 5 2 (c) 5 (d) 14 (e) It is undefined. 9. For the functions f(x) = 5x 2 1 and g(x) = 2x 2 + 5, calculate and fully simplify h(x) = (2f 3g) (x). (a) h(x) = 11x (b) h(x) = 11x (c) h(x) = 4x 2 17 (d) h(x) = 4x 2 6 (e) none of these

5 Lynch, October 2016 Math 150 Exam 2A Page 5 of Suppose that both an orange and a white pipe can be used to fill a small swiming pool. It takes 7 hours for an orange pipe to fill the pool by itself. It takes both an orange and a white pipe 3 hours to fill the pool. How long would it take the white pipe by itself to fill the pool? (a) 3 2 (b) 21 4 hours (c) 4 hours (d) 6 hours (e) 10 hours 11. The first graph below is the graph of the function f(x). Use transformations to decide which of the following is the graph of g(x) = 1 2f(x + 1) + 3. f(x) (a) (b) (c) (d) (e)

6 Lynch, October 2016 Page 1 of 6 Math 150, Fall 2016 Exam 2 Form A Work Out Problems Sections 3A-5A Last Name: First Name: Section Number: Student ID number: Directions: 1. Show all your work neatly and clearly mark your final answer. You must show your work to receive credit. You will be graded not only on the final answer, but also on the quality and correctness of the work leading up to it. 2. No calculators, cell phones, or other electronic devices may be used, and they must all be put away out of sight. 3. There are 10 problems on this exam worth 5 points each. 4. Together with the other part of the exam there will be a total of 105 points possible. It will be graded out of 100, so there are 5 possible bonus points. 5. You may not discuss the contents of the exam with anyone until the exam is returned in class. THE AGGIE CODE OF HONOR On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work. Signature: Note: You are authorized to use a pencil, eraser, and your own TAMU student ID; use of anything else is a violation of the honor code. If you need any extra paper, please ask your instructor or TA; do not use your own. Exam Part Points Earned Points Possible Multiple Choice 55 Page 2: 10 Page 3: 10 Page 4: 10 Page 5: 10 Page 6: 10 Exam 1 Grade (out of 100)

7 Lynch, October 2016 Math 150 Exam 2A Page 2 of 6 1. If f(x) = 5 x 2, and g(x) = 5 x 2, find and fully simplify (f g)(x). Also, find the domain of (f g)(x). (f g)(x) = Domain of f g: 2. Find the center and radius of the circle given by the equation 3x 2 + 3y 2 6x + 4y + 3 = 0. Center: Radius:

8 Lynch, October 2016 Math 150 Exam 2A Page 3 of 6 3. State the formula for the difference quotient, and then evaluate the difference quotient for the function f(x) = 3x 2 5x. Fully simplify your answer. Difference Quotient Formula: Difference Quotient for f(x) = 3x 2 5x is : 4. Suppose the Brazos River is flowing at a rate of 5 mph. A boat travels up the river for 6 hours. It then returns over the same distance and it only takes 4 hours. What would be the boat s speed if it was traveling through still water? Boat s Speed:

9 Lynch, October 2016 Math 150 Exam 2A Page 4 of 6 5. List the transformations in order that would be necessary to graph the function f(x) = 2 5 x 3. (You do not need to graph the function.) Transformations (in order): 1) 2) 3) 4) 6. Algebraically calculate and simplify the inverse of the function f(x) = 2x Find the domain of f 1 (x). f 1 (x) = Domain of f 1 :

10 Lynch, October 2016 Math 150 Exam 2A Page 5 of 6 7. Suppose the points (2, 3) and (0, 3) are the endpoints of the diameter of a circle. Find the equation of the circle. Equation of Circle: 8. On the moon, a baseball is tossed vertically upward, and its distance s in feet from the ground after t seconds is given by s(t) = 4t t + 6. Find the maximum height reached by the ball and the time t it reaches the maximum height. Maximum Height: Time t =

11 Lynch, October 2016 Math 150 Exam 2A Page 6 of 6 9. Write the quadratic function f(x) = 2x 2 10x + 3 in standard form. Find the axis of symmetry of the parabola. Standard Form: Axis of Symmetry: 10. If the distance between (x, 2) and (5, 5) is 7, find all possible values for x. x =