1 Lesson 7.2: Units 3 and 4 Review Workbook 7.2 Explore Your Understanding Assignment 7.2 This assignment includes 17 marks. 1. Consider the function f(x) = 4(x - 1). 1 a. Determine the equation of the inverse of this function. 1 b. Sketch the graph of the function and its inverse. 19 ADLC Mathematics 30-1Lesson 7.2: Units 3 and 4 Review Workbook 7.2 2 C. Determine any invariant points. State where invariant points will always occur in inverse relations, and explain why. 2. A sinusoidal function passes through (0 , 2), has a maximum at (20 , 5), and a subsequent minimum point at (60, - 1). 2 a. Determine the amplitude, period, and range of this function. 1 b. Determine a possible sine function with these characteristics. (1 c. Determine a possible cosine function with these same characteristics. 3. The function f(x) = log, (x + 2) passes through the point (14, 2). 1 a. Determine the value of b.Lesson 7.2: Units 3 and 4 Review 1 Workbook 12 b. Determine the value of n if the function passes through the point (n. 3) 1 c. Determine the value of m if the function passes through the point (6. m). 4. The formula B = 10 log (7 ) can be used to calculate the sound level, B decibels, where I is the intensity of the sound and I, is a reference intensity equal to 10"W/m . A conversation between two people is approximately 60 dB, while the threshold of pain caused by sound is considered to be 130 dB. a. Determine how many times as intense the threshold of pain is than a conversation. 2Workbook 7.2 Lesson 7.2: Units 3 and 4 Review 1 b. Determine the sound level, to the nearest tenth of a decibel, if the conversation intensity is tripled. 5. An amount of $5 000 is invested at 5%/a, compounded monthly. 1 a. Determine the value of the investment after 6 years. 2 b. Determine the length of time required for the investment to triple in value