Wang, October 2016 Page 1 of 5. Math 150, Fall 2015 Exam 2 Form A Multiple Choice Sections 3A-5A

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1 Wang, October 2016 Page 1 of 5 Math 150, Fall 2015 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 2016, Exam 2, Form A

2 Wang, October 2016 Math 150 Exam 2A Page 2 of 5 1. Describe the end behavior of the polynomial p(x) = (2x 2 x 4 )(x 3 + 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 2. Find the domain of the function f = 2x + 1 x2 1 (a) (, ) (b) (, 1) ( 1, 1) (1, ) (c) (1, ) (d) (, 1) (1, ) (e) ( 1, 1) 3. An open box is constructed from a 7 foot by 8 foot piece of cardboard by cutting squares of equal length from each corner and turning up the side. Write a function for the volume of the cardboard box in terms of the length x of the cutout square. Restrict the domain appropriately. (a) V (x) = (7 x)(8 x), domain: (0, 7) (b) V (x) = x(7 x)(8 x), domain: (0, 7/2) (c) V (x) = x(7 2x)(8 2x), domain: (0, 7/2) (d) V (x) = x(7 x)(8 x), domain: (0, 7) (e) V (x) = (7 2x)(8 2x), domain: (0, 4)

3 Wang, October 2016 Math 150 Exam 2A Page 3 of 5 x if x 2 4. For f(x) = 8 if 2 < x 8 x2 + 1 if x > 8., calculate f(0) + 3f(8). f(2) (a) 25 8 (b) 25 3 (c) 3 (d) (e) 4 x 2 if x 1 5. For f(x) = x if 1 x 1 x 2 if x > 1. funtion is even, odd, or neither. (a) (, 1] [1, ), odd. (b) ( 1, ), even. (c) (, ), neither. (d) (1, ), even. (e) (, ), odd., find where the function is increasing. Also, determine if the 6. Find the x-intercepts and y-intercept of xy 2 + x 3 y + x 2 y 3 = 6. (a) x-intercepts: 3,-3 y-intercepts: 9,-3. (b) x-intercepts: 3, 3 y-intercepts: 9,-3. (c) x-intercepts: 3,-3 no y-intercept. (d) no x-intercept y-intercepts: 3,6. (e) x-intercepts: 6, 6 y-intercepts: 6.

4 Wang, October 2016 Math 150 Exam 2A Page 4 of 5 7. Let f(x) = x + 2 x 2 and g(x) = x + 2 2f(x). Calculate and fully simplify x + 3 g(x) 2 (a), D = (, 3) ( 3,, 0) (0, ). (x + 3)x2 (b) x 2, D = (, 3) ( 3, 0) (0, ). x 2 (c), D = (, 3) ( 3, ). (d) x 2, D = (, 0) (0, ). (e) x 2, D = (, 3) ( 3, 2) ( 2, 0) (0, ). and find its domain D. 8. What is the difference quotient for f(x) = 2x 2 + 3x? (a) f(x + h) f(x) (b) 4xh + 2h 2 3h (c) 4x 2h + 3 (d) 2x h + 3 (e) 2h 2 + 3h 9. Find the inverse function of f(x) = (x + 2) 2 5, where x [ 2, ). (a) f 1 1 (x) = (x + 2) 2 5 (b) f 1 (x) = x (c) f 1 (x) = x (d) f 1 (x) = x (e) Since f is not one-to-one, it does not have an inverse function.

5 Wang, October 2016 Math 150 Exam 2A Page 5 of Test the quation 2x 2 y y 3 = 4 x x 2 for symmetry about the x-axis, y-axis, and origin. (a) Symmetric about just the x-axis (b) Symmetric about just the y-axis (c) Symmetric about just the origin (d) Symmetric about the x-axis, y-axis, and origin (e) Not symmetric about the x-axis, y-axis, or origin 11. Little bear goes through a bucket of honey in 30 minutes. It takes 10 minutes for both father bear and little bear finish the same amount of honey. How long would it take for Father bear to finish up one bucket of honey? (a) 20 minutes (b) 40 minutes (c) 15 minutes (d) 12 minutes (e) 8 minutes

MthSc 103 Test #1 Spring 2011 Version A JIT , 1.8, , , , 8.1, 11.1 ANSWER KEY AND CUID: GRADING GUIDELINES

MthSc 103 Test #1 Spring 2011 Version A JIT , 1.8, , , , 8.1, 11.1 ANSWER KEY AND CUID: GRADING GUIDELINES Student s Printed Name: ANSWER KEY AND CUID: GRADING GUIDELINES Instructor: Section # : You are not permitted to use a calculator on any portion of this test. You are not allowed to use any textbook, notes,