Module 11 Lesson 3 Polynomial Functions Quiz Some questions are doubled up if a pool wants to be set up to randomize the questions. Question 1: Short answer/fill in the blank Find the limit graphically: lim 2 Answer: 3 Feedback: Make sure that you have graphed your function carefully. Use an online graphing calculator, such as https://www.desmos.com/calculator if you do not have a calculator. Look at the y value for x = 3. Question 2: Short answer/fill in the blank Find the limit graphically: lim 3 Answer: -4 Feedback: Make sure that you have graphed your function carefully. Use an online graphing calculator, such as https://www.desmos.com/calculator if you do not have a calculator. Look at the y value for x = -1. Question 3: Multiple Choice with multiple Answers What kind of transformation does =16 5 have? Please check all that apply A. Horizontal stretch of 16 B. Horizontal stretch of 1/2
C. Vertical stretch of 16 D. Vertical stretch of 1/2 E. Horizontal shift of 5 right F. Horizontal shift of 5 left G. Vertical shift of 5 down H. Vertical shift of 5 up Answers: B, C, and G Feedback: Try graphing the polynomial on your calculator to see which answers apply. Question 4: Multiple Choice with multiple Answers What kind of transformation does = 2( 3) +1 have? Please check all that apply. A. Reflects across the y-axis B. Reflects across the x-axis C. Horizontal stretch of 1/2 D. Vertical stretch of 2 E. Horizontal shift of 3 right F. Horizontal shift of 3 left G. Vertical shift of 1 down H. Vertical shift of 1 up Answers: B, D, E, and H Feedback: Try graphing the polynomial on your calculator to see which answers apply.
Question 5: Multiple Choice Graph the function: ()=3 2 5 + 1 Which is the function that is the vertical reflection of this function? A. ()= 3 +2 5 1 B. ()=3 +2 5 1 C. ()= 3 +2 +5 1 D. ()= 3 2 5 1 Answer: B Feedback: To find this function, take your original function and plug in -x where you see x and evaluate. Question 6: Short answer Describe the end behavior of this polynomial function: = 3 2 +6 3 Answer: As, and as, Question 7: Multiple Choice Which answer best describes the end behavior of this polynomial function: =2 +4 +6 A. As, and as, B. As, and as, C. As, and as, D. As, and as, Answer: C Feedback: What is the degree of the polynomial? Is it even or odd? Remember the 2 x 2 table you filled out in your notes? This would be a great resource to help with this problem.
Question 8: Multiple Choice Which answer best describes the end behavior of this polynomial function: = 3 2+1 A. As, and as, B. As, and as, C. As, and as, D. As, and as, Answer: D Feedback: What is the degree of the polynomial? Is it even or odd? Remember the 2 x 2 table you filled out in your notes? This would be a great resource to help with this problem. Question 9 Multiple Choice What is the largest degree of this polynomial? A. Third B. Fourth C. Fifth D. Sixth Answer: C
Incorrect Feedback: How many turns does the polynomial have? Remember that a polynomial has one less turn that the degree. Question 10: Multiple Choice What is the degree of this polynomial: A. Fifth B. Fourth C. Third D. Second Answer: B =1+5 2 +9 Incorrect Feedback: Remember that polynomials should be in descending order by exponent. The degree is then the highest exponent in the function. Question 11: True or False This function is a polynomial: Answer: False = 1 Incorrect Feedback: By definition, a polynomial has exponents that are non-negative integers. Question 12: Short answer
State the domain and range of this polynomial in proper interval notation: Answer: Domain: (-, ) Range: (-, ) Question 13: Short answer State the domain and range of this graph in proper interval notation: Answer: Domain: [0, ) Range: (-, ) Question 14: Multiple Choice with multiple Answers
Given the polynomial = 9 5+1, select all names from the list that accurately describe this polynomial. A. Quadratic B. Quartic C. Quintic D. Monomial E. Binomial F. Trinomial Answers: C & F Feedback: There are more than one correct answer. Remember that polynomials are named by degree and by number of terms. Question 15: Multiple Choice with multiple Answers Given the polynomial =3, select all names from the list that accurately describe this polynomial. A. Quadratic B. Cubic C. Linear D. Monomial E. Binomial F. Trinomial Answers: B and D Feedback: There are more than one correct answer. Remember that polynomials are named by degree and by number of terms.