Unit 1 Assignment 1. Rod says that he is thinking of a one variable polynomial expression...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Unit 1 Assignment 1. Rod says that he is thinking of a one variable polynomial expression that has the following characteristics: a. has a degree of 4 b. has three terms c. one of the terms has degree 1 d. one of the terms has a coefficient of -5 e. has a y-intercept at 10 What are two different polynomials that Rod could be thinking of? Are those the only possible answers? Please include an explanation or rationale with your response. [6 marks] 2. Create a question similar to #1 above, and provide a description of how a teacher could check that a student's response was correct. [3 marks] 3. Describe a function that has a. a domain of {xER | 2x 10}, and b. a range of {y ER | 5 y 10}. Your function does not need to be a polynomial or rational function, and it can be described algebraically, as a graph, or in another form. [4 marks] 4. Consider polynomial functions in the form f(x) = ax" +x. Use at least three examples to investigate the relationship between a, n, and the constant finite differences. Explain the steps you took in your investigation and any conclusions you found. [6 marks] 5. Fully factor the following polynomials. Explain your thought process with your solution. a. f(x)=2x-25x2 + 53x-30 [3 marks] b. f(x)=x3+3x-4 [3 marks] 6. Sketch the graph of the function f(x) = (x-4)(x + 1)(x-5). Explain your thinking. [4 marks] 7. Solve the equation 6x + x = 5x + 2x. [4 marks] 8. Describe the transformations on the quartic function f(x) = 14[3(x-5)]-45. [2 marks] 9. Determine the values of m and n for f(x) = mx + 12x + nx - 3 given that the remainder when dividing by (x + 3) is zero, and when divided by (x-2) the remainder is 85. [6 marks] 10. Use algebra to determine whether the function f(x) = 22x-19x is even, odd, or neither. [4 marks] 11. Graph the function f(x) = -2x + 2x + 4 and its reciprocal on the same or separate axes. Explain your thinking. [5 marks] Copyright 2022 The Ontario Educational Communications Authority. All rights reserved. TVO ILC MHF4U Learning Activity 1.15 Unit 1 Assignment 12. Sketch the graph of the function f(x) = with the function. [5 marks] 2x+3 x-5 Describe its features and their relationship 2x+5 13. Solve the inequality Include an interval chart in your solution. [4 marks] 14. Solve the inequality 8x - 3 2x+1 17x-8. Explain your solution in words. [5 marks] 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x cm, what values of x will give a box with a volume between 300 cm and 900 cm? [6 marks] Unit 1 Assignment 1. Rod says that he is thinking of a one variable polynomial expression that has the following characteristics: a. has a degree of 4 b. has three terms c. one of the terms has degree 1 d. one of the terms has a coefficient of -5 e. has a y-intercept at 10 What are two different polynomials that Rod could be thinking of? Are those the only possible answers? Please include an explanation or rationale with your response. [6 marks] 2. Create a question similar to #1 above, and provide a description of how a teacher could check that a student's response was correct. [3 marks] 3. Describe a function that has a. a domain of {xER | 2x 10}, and b. a range of {y ER | 5 y 10}. Your function does not need to be a polynomial or rational function, and it can be described algebraically, as a graph, or in another form. [4 marks] 4. Consider polynomial functions in the form f(x) = ax" +x. Use at least three examples to investigate the relationship between a, n, and the constant finite differences. Explain the steps you took in your investigation and any conclusions you found. [6 marks] 5. Fully factor the following polynomials. Explain your thought process with your solution. a. f(x)=2x-25x2 + 53x-30 [3 marks] b. f(x)=x3+3x-4 [3 marks] 6. Sketch the graph of the function f(x) = (x-4)(x + 1)(x-5). Explain your thinking. [4 marks] 7. Solve the equation 6x + x = 5x + 2x. [4 marks] 8. Describe the transformations on the quartic function f(x) = 14[3(x-5)]-45. [2 marks] 9. Determine the values of m and n for f(x) = mx + 12x + nx - 3 given that the remainder when dividing by (x + 3) is zero, and when divided by (x-2) the remainder is 85. [6 marks] 10. Use algebra to determine whether the function f(x) = 22x-19x is even, odd, or neither. [4 marks] 11. Graph the function f(x) = -2x + 2x + 4 and its reciprocal on the same or separate axes. Explain your thinking. [5 marks] Copyright 2022 The Ontario Educational Communications Authority. All rights reserved. TVO ILC MHF4U Learning Activity 1.15 Unit 1 Assignment 12. Sketch the graph of the function f(x) = with the function. [5 marks] 2x+3 x-5 Describe its features and their relationship 2x+5 13. Solve the inequality Include an interval chart in your solution. [4 marks] 14. Solve the inequality 8x - 3 2x+1 17x-8. Explain your solution in words. [5 marks] 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x cm, what values of x will give a box with a volume between 300 cm and 900 cm? [6 marks]
Expert Answer:
Posted Date:
Students also viewed these accounting questions
-
9-1 Is the transportation model an example of decision making with certainty or decision making with uncertainty? Because? 9-3 What is a balanced transportation problem? Describe the approach you...
-
Question 1.2. Write a functionfertility_over_timethat takes the Alpha-3 code of acountryand astartyear. It returns a two-column table with labels "Year" and "Children per woman" that can be used to...
-
2. In a mass screening of 1000 65 year-old men, 100 were found to have Hepatitis B. During the following 10-year period, another 200 contracted the disease. a. What is the point prevalence of...
-
Assignment: Based on your reading and analysis of the case study above, address the following items in a detailed essay response of approximately 600 words. Each number below should be addressed...
-
Carr Company was started on January 1, 2016. During the month of January, Carr earned $4,600 of revenue and incurred $3,000 of expenses. During the remainder of 2016, Carr earned $52,000 and incurred...
-
All conditions of Prob. 5/207 remain the same, except the counterclockwise angular velocity of crank OA is 10 rad/s when = 0 and the constant counterclockwise angular acceleration of the crank is 20...
-
What three measures can be used to analyze short-term financial strength?
-
A Randstad/Harris interactive survey reported that 25% of employees said their company is loyal to them (USA Today, November 11, 2009). Suppose 10 employees are selected randomly and will be...
-
QUESTION 6 You are given the following information on projects A and B. Based on the NPV Rule, should you accept or reject these projects? Project A Year Cash Flow ($) Project B Year Cash Flow ($) 10...
-
1. Describe the difference between diamagnetism, paramagnetism, and ferromagnetism in terms of their magnetic susceptibility and response to external magnetic fields. 2. Explain the differences...
-
2) Imagine that you and your friend are at the beach. You have your chairs and umbrella set up in the perfect spot near the water so you can jump in to cool off with ease. A few hours into your stay,...
-
Wilco Inc. presents the following production cost data: DM Inventory, Jan 1 $10,000 DM Inventory, Dec 31 $11,000 WIP Inventory, Jan 1 $30,000 WIP Inventory, Dec 31 $32,000 FG Inventory, Jan 1 $80,000...
-
what extent does economic globalization, characterized by the liberalization of trade and the expansion of transnational corporations, contribute to global inequality and the stratification of wealth...
-
[0 1 4 . Determine if the columns of the matrix A= 1 2 -1 are linearly independent. Use 5 8 0 the result to find the solution of Ax =b for any b R3. What is the span of columns of A?
-
Seeing the distinction between short run and long run play out as companies responded to the surge in demand for surgical and respirator masks at the onset of the COVID-19 pandemic in March 2020. As...
-
Mr. Sam is the Manager of Infosys in New York branch. Their team is currently (Struts) Explain about the Java Mail with a neat architecture diagram? Explain about the different types of Java Message...
-
Before the 1973 oil embargo and subsequent increases in the price of crude oil, gasoline usage in the United States had grown at a seasonally adjusted rate of 0.57 percent per month, with a standard...
-
Which of the following information system functions focuses on the identification of problems and projects for computer processing? (a) user support (b) programming (c) operations (d) systems analysis
-
Which of the following is a general term that is used to describe the use of electronic technology for business documents? (a) telecommuting (b) information system (c) office automation (d)...
-
( __________________ ) is the direct computer-to-computer exchange of business documents via a communications network. (a) electronic data interchange (b) electronic funds transfer (c) telecommuting...
Study smarter with the SolutionInn App