Exponential and Logarithmic Functions Unit Exam Name: 1. When a function and its inverse are graphed on the same grid, which of the following lines must be a line of symmetry for the graph? A. the x-axis B. the y-axis C. the line y = x D. the line y = -x 2. Which of the following is true for all exponential functions of the form y = a-b* where a > 0 and b > 1? A. The range is y E R. B. The range is {y | y > 0, y ER} C. There is no y-intercept. D. The y-intercept is b. 3. Denis recently spent $1280 on a new laptop for his home business. He read that the depreciation rate for this model laptop is 25%. (Hint: 100% - 25% = 75% then convert to a decimal. This is your base.) How much money should Denis expect to sell his laptop for in three years? A. $540 B. $960 C. $320 D. $740 4. Identify the range of the exponential function y = 10". (1 mark) A. {yly 0,y ER} C. {y ly # 0, y ER} D. {yly ER} 1Exponential and Logarithmic Functions Unit Exam Name: Use the following information to answer the next three questions. The graphs on the grid represent exponential functions of the form ( 3 ) , andy - (4) . but not necessarily in that order. 5. If p = 2, and q - 4, which graph represents y = q*? A. I B. II C. III D. IV 6. If 1 0 and b # 1? A. The domain is {x | x ER} B. The range is { [ y ER} C. The x-intercept is 1. D. There is no y-intercept. 9. How many x-intercepts does the exponential function f(x) = 2(10)* have? A. 0 B. 1 C. 2 D. 3 10. How many y-intercepts does the exponential function f(x) = = (5) have? A. 0 B. 1 C. 2 D. 3 11. Which of the following is an exponential function? A. A(x) =x B. g(x) = (-1) C. h(x) = 17* D. j(x) = 25-x w