MHF4U - Unit 6 Test. Multiple Choice - Answer on SCANTRON Identify the choice that best completes the statement or answers the question.

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1 MHF4U - Unit 6 Test Multiple Choice - Answer on SCANTRON Identify the choice that best completes the statement or answers the question 1 The function has the point (10, 1) on its graph Find the coordinates of the image point transformed from (10, 1) on the transformed function a ( 2, 4) c (14, 5) b (2, 5) d (4, 5) 2 Which of the following functions results if is vertically stretched by a factor of 4, horizontally stretched by a factor of 3, reflected in the y-axis, horizontally translated 5 units to the right and vertically translated 2 units up? a c b d 3 Which of the following characteristics of the function changes under the following transformations:? a The range of the function c The x-intercept b The domain of the function d The vertical asymptote 4 Express in logarithmic form a c b d 5 Evaluate a n c mn b d 2n 6 Evaluate a 4 c 7 b 5 d 10 7 Express as the logarithm of a product or quotient a log 82 c log 78 b log 40 d log 16 8 Solve for x a 20 c 120 b 89 d 1600 Short Answer

2 9 Estimate to two decimal places 10 Write as a single logarithm 11 Solve for x 12 A shade allows light to pass through from a lamp, but reduces the intensity of the light The intensity of the light is reduced by 15% if the fabric is 1 mm thick Each additional millimetre of fabric reduces the intensity by another 15% a) Produce an equation that models the relationship between the thickness of the fabric (t) and the intensity of the light (i) b) If the light has been reduced to only 40% intensity, how many millimetres of fabric were used? 13 Solve

3 14 Solve 15 The population of a town is increasing at a rate of 62% per year The city council believes they will have to add another elementary school when the population reaches If there are currently people living in the town, how long do they have before the new school will be needed? 16 What is the hydrogen ion concentration of a glass of orange juice, with a ph of 28? Recall that ph = -log[h + ] Problem 17 Solve for x 18 Explain why there are no solutions to the following equations: a) b)

4 19 The loudness, L, of a sound in decibels (db) can be calculated using the formula, where I is the intensity of the sound in watts per square metre and A singer is performing to a crowd How many times more intense is her singing at 90dB, compared to a bird whose call is 44dB? 20 Solve

5 MHF4U - Unit 6 Test Answer Section MULTIPLE CHOICE 1 ANS: A REF: Application OBJ: 82 - Transformations of Logarithmic Functions 2 ANS: B REF: Application OBJ: 82 - Transformations of Logarithmic Functions 3 ANS: C REF: Communication OBJ: 82 - Transformations of Logarithmic Functions 4 ANS: C REF: Knowledge and Understanding OBJ: 83 - Evaluating Logarithms 5 ANS: D REF: Knowledge and Understanding OBJ: 83 - Evaluating Logarithms 6 ANS: D REF: Knowledge and Understanding OBJ: 83 - Evaluating Logarithms 7 ANS: B REF: Knowledge and Understanding OBJ: 84 - Laws of Logarithms 8 ANS: D REF: Application OBJ: 84 - Laws of Logarithms SHORT ANSWER 9 ANS: 411 REF: Knowledge and Understanding OBJ: 83 - Evaluating Logarithms 10 ANS: REF: Knowledge and Understanding OBJ: 84 - Laws of Logarithms 11 ANS: REF: Knowledge and Understanding OBJ: 85 - Solving Exponential Equations 12 ANS: REF: Application OBJ: 85 - Solving Exponential Equations 13 ANS: 4 REF: Thinking OBJ: 86 - Solving Logarithmic Equations 14 ANS: 3

6 REF: Knowledge and Understanding OBJ: 86 - Solving Logarithmic Equations 15 ANS: 46 years REF: Application OBJ: 87 - Solving Problems with Exponential and Logarithmic Functions 16 ANS: mol/l REF: Knowledge and Understanding OBJ: 87 - Solving Problems with Exponential and Logarithmic Functions PROBLEM 17 ANS: REF: Knowledge and Understanding OBJ: 85 - Solving Exponential Equations 18 ANS: a) Rewriting the equation as an exponential equation gives A positive number raised to any power results in a positive answer b) Rewriting the equation as an exponential equation gives Rewriting this equation as a logarithmic equation gives Applying the power rule gives, which includes an undefined factor and is therefore undefined c) Rewriting the equation as an exponential equation gives Zero raised to any power gives 0 REF: Communication OBJ: 86 - Solving Logarithmic Equations 19 ANS:

7 times as loud REF: Application OBJ: 86 - Solving Logarithmic Equations 20 ANS: 126, 1

Chapter #2 test sinusoidal function

Chapter #2 test sinusoidal function Sunday, October 07, 2012 11:23 AM Multiple Choice [ /10] Identify the choice that best completes the statement or answers the question. 1. For the function y = sin x,