Given the polynomial function f(x) = x³ − 4x²+x+6 Write the original polynomial function f (x) = x³ − 4x² + x + 6 in factored form.

Exponential Functions and Equations: End-of-Unit Assessment 1. Which are true of x = log10 31,500? Select all that apply. A. x < 4 B. x = 4 C.x>4 D. x < 5 E. x = 5 F. x > 5

- 4. A set designer for a play makes a whale tail out of a semicircle with an isosceles triangle cut out of it. What is the area of the whale tail? [ 5 mark] 5. A decorator is wallpapering a wall with a circular window of diameter 1.00 m. What is the area of the wall in square feet? (1 m - 3.2808 feet) [ 6 marks] 26mZ 6. A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?

14. In 1987 there were about 130 000 cell phone users in Canada. In 1999, there were about 10 million cell phone users. What is the percent increase per year? Answer correct to 2 decimals {3}

Aiden borrows a book from a public library. He reads a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads 6 pages less than what he reads on the first day. If he reads the entire book which contains 458 pages in 3 days, how many pages did he read on day three?

Part 2: How far can you travel? Apparently, the length of your kayak affects the speed your kayak can travel. Based on the table below, choose a kayak length. Maximum Speed Table Waterline Length Miles Per (Feet) Knots Hour 9 4.0 4.6 10 4.2 4.9 11 4.4 5.1 12 4.6 5.3 13 4.8 5.6 14 5.0 5.8 15 5.2 6.0 16 5.4 6.2 17 5.5 6.4 18 5.7 6.5 1) What kayak size are you picking? 2) Using the information you picked, if you travel at maximum speed upstream with a river current of 2 miles per hour, find how far it will take you to travel in 6 hou A) First, draw a picture to depict the situation. Identify the variables and write an equation to solve for the distance. B) Solve the equation and show your work./nPart 1 What's their speed? You are going to calculate what speed the kayakers are paddling, if they stay at a constant rate the entire trip, while kayaking in Humboldt bay. Watch this video and write down the key information needed to solve the problem ka. 2² W 8 D E E ( _Kayak Part 1 Question grade kayaking video.docx O Watch on RIVER CURRENT TRIP DISTANCE TOTAL TIME OF TRIP ►YouTube Guard station... Y EntrancQ Search this area Hookton Channe King Salmon Beach King Salmon 6) Explain the results Fields Landing Southport Channel 101 Redwood CBS 3) Label variables and create a table KEET 1)Write down the key information from the video Humboldt Hi 2) Draw a picture to model the problem 4) Write an equation to model the problem 5) Solve the equation. Provide supporting work and detail - + 100% <Cobylink RH Page 4/4/nAlgebra 1 is all about equations and functions. First, you learned about Linear Functions and then Quadratic Functions. Next, you learned about Rational Functions (indirect variation), then Exponential, and then Radical Functions. Before Algebra 1 comes to a close, it is good to review these functions and compare them side by side. Complete the table below. The table has been created for you in a Worksheet. The worksheet is available as a Google Doc., Word, or PDF Worksheet. If you don't have access to Google Docs. or Microsoft Word, download the PDF and create the worksheet in an application of your choice. If you use the Googl doc. version, download your completed worksheet as a PDF. You MUST complete the worksheet and upload it as a PDF. All graphs need to b inserted into the Worksheet, and every line item completed. Do NOT upload individual graphs; your work needs to be organized. All images should be original. Graphed them using a digital calculator such as Desmos.com. Resources: Desmos User Guide Export a graph from Desmos by choosing 'Share' and then 'Export', or you can 'Print' them as a PDF. Alternatively, you can take a screenshot of your graph. Insert the graph images into the worksheet table. Parent Function: Notation Parent Function: Graph Translation: Graph a function that extends only through quadrants 1, 2, and 4. If it is not possible to graph through these quadrants, chose one or two quadrants and explain the choice. Write the function notation for the above function Domain and Range of translated function Linear Quadratic Rational Exponential Radical • Reflection: Write a paragraph summarizing what you learned from this activity./nTo do: Receive a grade Opened: Wednesday, 8 March 2017, 12:00 AM At 1:00 pm, Ryan realizes his computer has been unplugged. He needs to work on the computer in his car and wants it to be fully charged. The image on the right represents the time it took for the laptop to charge. Resources: Desmos Guide • Regression Tool • Line of Best Fit video 16% Z 28% [4] 37% [4] 51% [4] 69% [4] 81% [4] Tue 1:04 PM Tue 1:17 PM Tue 1:27 PM Tue 1:51 PM Tue 2:25 PM Tue 2:42 PM 1. When can Ryan expect his laptop to be fully charged? Do a quick estimate and explain your reasoning. 2. He does a quick calculation at 1:17 and estimates the computer charges 1% a minute. He estimates it will be fully charged by 2:30. Was he right? 3. Was his prediction over or under? 4. Create a table of values for the data points. You first need to convert the minutes to decimals. (Hint: to convert 1:04 pm to decimal, you would take 1 + 4/60, which is 1.07). 5. Graph all the data points from your table. Use desmos.com to graph the points OR draw an original graph using graph paper. 6. Calculate the line of best fit for your graph. Use the regression tool on desmos.com to get the most accurate line of best fit. Write the line of best fit in the form y=mx+b. Based on your line of best fit, when will the computer be fully charged? 7. Was your first estimate correct? Why do you think Ryan's first estimate was not accurate?

28. DIG DEEPER! You and a friend start riding bikes toward each other from opposite ends of a 24-mile biking route. You ride 2-miles every hour. Your friend rides 7-miles per hour. 1 3 4 b. When you meet, who has traveled farther? How much farther? M3380

Q1 a) Find the length of the line segment joining the points (6,5) and (2,2) b) Find the equation of the straight line that passes through these points, giving your answer in the form ax+by+c=0. (5 marks)

6) Ashley and Ted left the mall at the same time. They traveled in opposite directions. Ted traveled 0 km/h slower than Ashley. After one hour they were 40 km apart. Find Ashley's speed.

Q4 The line 3x - 4y = 8 meets the y-axis at A. The point C has coordinates (-2, 9). The line through C perpendicular to 3x - 4y = 8 meets it at B. Calculate the area of the triangle ABC. (8 marks)

Given the polynomial function f(x) = x³ 4x²+x+6 Name all of the actual real roots of this function. You may want to use the graph of this function to "see" the actual real roots.