Question: MUFO091 Mathematics Unit 1 Test 1 2/2015 Question I Select the correct answer for the following and write your answer in the table provided. (1)

MUFO091 Mathematics Unit 1 Test 1 2/2015 Question I Select the correct answer for the following and write your answer in the table provided. (1) The maximal domain for the function with rule /(x) = v16 - x" is: A [0. 16] B[-4. 4] C (-0. 4] D (4.4) E[-16.50) (ID) The range of the function with graph as shown below is: (5. 8) (1. 6) (-1. 2) 0 "(8. -0.5) ( -5. -4) (5. -6) A (-6, 7) B ( 4. 7) C (-6. 2) U (6. 8] D ( 5. 7] E RV2. 61 The factors of / (x) my P- Sy - 5.x are: Ax, x+ 1,x - V5 Bx, x+ 1. x + V5.x - V5 Cxx+1 De+1. x+5. x- V5 Ex+ly- 3x Page 1 of 11MUFOO91 Mathematics Unit 1 Test 1 2/2015 (iv) The parabola with equation y= x is translated so that its image has its vertex at (7. -2). The equation of the image is: Ay=(x-2)+7 By-7x-2 Cy- (x- 7)-2 Dy- (x+2)-7 Ey- (x+7)-2 (v) The equation of the graph shown below, given that it is a cubic graph with inflection point at (-1. 2). is: (-1. 2) 0 Ay - 2(+ 1)'+2 By-(+1)44 Cy- (x- 1)+4 DJ-G-1-2 Ey - 2(x- 1)+2 (5marks) Question I Answer III IV Page 2 of 11MUFO091 Mathematics Unit 1 Test 1 2/2015 Question 2 (a) State the domain and range of the function /: [-5,0) - R where / (x) = x + 6x + 3. Also state whether this function is a one-to-one or many-to-one function. (b) The graph of y = g (x) is shown below. On the same set of axes, sketch the graph of y = -g(x + 1). clearly showing all important features: (3+5 - 8 marks) Page 3 of 11MUFOO91 Mathematics Unit 1 Test 1 2/2015 Question 6 Given a quartic function /(x) = x4 - 2x] - 3x] + 8x - 4. (a) Show that (x + 2) is one of the factor of f (x). (b) If the function /(x) has another factor (x - 2), factorise f(x) completely. Give answer in simplest form. Show all the working clearly. Use graphics calculator to solve the following question. Consider functions of g(x) m x* - 2x- 3x# + 8x - 4.x2-2 and h(x)= = VX - x+ 1 (b) Find the solution(s) of g(x) = h(x). Give answer(s) correct to 2 decimal places. (1+5+2 - 8 marks) End of paper Page 9 of 11

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

ID NUMBER:_______________________ NAME: ______________ SECTION:_____ ASSIGNMENT - Answer the questions for each exercise. If there is a need for computed answers, solve and write the correct answers...

Statistics and probab ole group br reeds not to method en as sa wants to use the Table of Random Numbers in determining the students that In + should be in his sample. enc 4. For your research on...

Exercise 1. Given the series: 3, 5, 2, 7, 6, 4, 9. Calculate: 1. The mode____________, median________________ and mean_________________. 2. The average deviation____________________,...

math statistics and probability grade 11 a. P[1) = 0.08, P(2) = 0.12, P(3) = 1.03 b. P(1) = 10/33. P(2) = 1/3, P(3) = 12/33 Write D if the statement is discrete random variable and C if continuous...

Please help For each question below, select the best answer and print the letter corresponding to your selection on the answer sheet provided separately. Managerial accounting: focuses only on...

1. The dependent variable is: Group of answer choices The variable that is measured and observed for the impact of another variable on it The variable that does not relate to the hypothesis The...

1)Widget Manufacturing has just completed a major change in its quality control (QC) process. Previously, QC inspectors had reviewed products at the end of each major process, and the company's 10 QC...

A student takes a 20-question, True/False exam and guesses on each question. Find the probability of passing if the lowest grade is 15 correct out of 20. 4 A new surgical procedure is said to be...

(a) Water is to be supplied to the Pelton wheel of a hydroelectric power plant by a pipe of uniform diameter, 400 m long, from a reservoir whose surface is 200 m vertically above the nozzles. The...

A child applies a force F parallel to the x-axis to a l0.0-kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x-component of the force she applies...

Trevino Company makes and sells products with variable costs of $24 each Trevino incurs annual fixed costs of $315,000 The current sales price is $87e If fixed costs drop to $280,000, a. Determine...

Which of the following current assets will not generate cash in the future? Question 3 7 options: 1 ) prepayments 2 ) accounts receivable 3 ) inventory 4 ) marketable securities 5 ) notes receivable

Question 3 0.2 pts Gold Standard Works operates 52 weeks per year, and its cost of goods sold last year was $11,828,288. The firm carries eight items in inventory: four raw materials, two...