UNIT 6: EXPONENTIAL AND LOGARITHMIC FUNCTIONS Sketching/Written Assignment Correct algebraic steps must be shown to receive full marks. Lesson 6.3 & 6.7: Transformations of Exponential & Logarithmic Functions 1. Sketch the graph of y = =) and state the domain, range, horizontal asymptote, and intercepts (6 marks) . domain: . range: . equation of horizontal asymptote: 5-43 3 2 3 4 5 8 . intercepts: 2. Complete these tasks for each of the following functions. (6 marks each) a) y = 3(2)* + 1 . Describe the transformations: . Sketch the graph of the function. . domain: 54 3 7 73 4 5 6 . range: . equation of the horizontal asymptote: . intercepts: x+3 b) y = - - 2+ Describe the transformations: Sketch the graph of the function. domain: * range: equation of the horizontal asymptote: intercepts: y=log(3(x+2)-1 + Describe the transformations: = Sketch the graph of the function. domain: range: equation of the vertical asymptote: intercepts: Lesson 6.9: Solving Equations 1. The radioactive isotope Molybdenum-99 is produced at Chalk River Laboratories. Molybdenum-99 has a half-life of 66 h. a. What is the exponential function that would describe the relationship between the percent, P, of Molybdenum099 remaining after hours? (2 marks) b. What percent of Molybdenum-99 would be left after 36 h? (1 mark)