MHF4U Test Ch 3,4 &5 Fall 2022 USE PEN WRITE YOUR FULL NAME, TEST # 2, DEC 2ND 2022 Multiple Choice ONE POINT EACH Identify the choice that best completes the statement or answers the question. If the leading coefficient of an odd-degree polynomial function is positive, then the function extends from the third quadrant to the first quadrant: that is, ats x -+0,y -+ and as x -6.y-)- ID: A * +0.y + - and as I -+ 3. y- d x-+a,y-and asx +. yo 6. Find the average rate of change of for) -ox +30r -204 -480 on -3 5 1 62 2. Calculate (x)+ 4r - 3x + 6) +(x-2) using long division. Problem a. x +2x -7 remainder 20 c. x + Gr+33 * + 6: +9 remainder 24 d. x' + 6x +9r +24 The phones at Century Cellphones vary in price depending upon demand, The average phone has a built in camera and costs a dollars. Phones with both a camera and an MI'S player are 35 dollars less than twice the con of the planes with just the camera. Phones without any features are 100 dollars less than the cust of the 3. Which one of the following is not a factor of f(x) - 2t' +9x + 3x-47 phone with just the camera. Purchasing all three would cost at least $525. a. 21- 1 c x+4 a) Determine the incquality that represents this situation. How much does the phone with just the camera cont 4. Write the expression 27x - 1 in factored form. a. (3x+ 1)(3: -1) c. (3x + 1)(9x -3x + 1) b. (9x-1)(81x +9x + 1) d. (3x-1)(9r + 3r+ 1) Short Answer Write an equation and sketch an example of a quartic function with the zeros at -4, -1. 2 (order 2). 6. Determine whether the binomial (3x -2) is a factor of the polynomial 3c' - 14 + 26x - 12. Explain. 7. Determine the remainder, r, to make the multiplication statement shown below true. (2x + 6)(x-7) +r =2x -8x-34 Problem Date: ID: A 8. The population. P, of a town, is modelled by the equation P = (x +7x +750, where x is the number of year MILF4U CALL. 2022 ch5 test , PART OF CH3,45 5 TEST since the year 1960. a) What was the population of the town in the year 1960? Multiple Chiice b) Based on the equation, describe what happens to the population of the town over the years. Ming's the choice for beit comple wowers the question 9. Determine the number of degree and the end behaviours of the polynomial " - (x + SKx-1)(x +3). Justify 1. What is the domain of the recipeal function of () -38 - 17 your answer. 2 Atemily the inc saving and decreasing intervals for Cry- s Iner. (- 4), Inor, (4,) Deer. (-,4). Iher. (4,) THE The equation of the rational firstis that meets these conditions Name ID J. Increases on each interval of its denmain 10. For the graph, determine the equation of the function in the form y = a(x- h) +k. Then describe the transformations that were applied to y = x' to obtain the graph. 4. Its . 3 which of the Billowing is equis when to -. d. Sun Ne -31 + 12 Short Ammer 5 If a linear function is increasing. isplain mathenuitically wby the reciprocal function mint be decreasing. & Write a rational funcion in the form of (s) - that has a zio at -I, a vertical asymptote at a - 0. and a lumimetal symptote at yo 7. Numer any intervals on which ful -is leincaning of decreasing 11. Factor (2x -3)' -(x -6)'. Justify your answer by showing your work, MHFAU fALL 2022 TEST ch4 PART OF CH3.4 &5 Name: Problem Multiple Choice ONE MARK EACH Identify the choice that best completes the statement or answers the question 2 345 x+4 x + 3 x41 1. Which is the solution to 5 1.65 b. -1.80 1.65 Short Answer 3. The function f(x) models a highway's elevation in relation to sea level. When the function is positive, the highway is above sea level. When the function is negative, the highway is below sea level. Explain how you would determine when the highway was at sea level. 4. Factor the function f(x) = 3x' + 14r? + 20r +8