1. The range of the function y = 3" + dis: a. y > c b. y > d c. y > - d d. y > 0 2. The equation A = 90( ) can also be written as: a. A = 90(5) " b. A = 90(5)" C. A = 45(5) d. A = 45(5)" 3. Consider the exponential function y = 100(,) . Which of the following statements is false? a. The graph of the function is increasing b. The graph of the function is decreasing c. The domain is the set of all real numbers d. The range is the set of all real numbers greater than zero 4. Which of the following transformations maps the function y = 8" to the function y = 8* + 7? a. a horizontal shift of 5 units to the left and a vertical shift of 7 units up b. a horizontal shift of 5 units to the left and a vertical shift of 7 units down c. a horizontal shift of 5 units to the right and a vertical shift of 7 units up d. a horizontal shift of 5 units to the right and a vertical shift of 7 units down 5. A student is attempting to sketch the graph of the function f (x) = 3" - 1 without a calculator. Where should they draw a dotted line to represent an asymptote? a. x =- 2 b. x = 2 C. y =- 1 d. y = 16. A radioactive sample with an initial mass of 1 mg has a half-life of 9 days. What equation accurately models the exponential decay, A, for time, t? v A=) a2 t b 4=(7) . A=%)9t d. A=%)t 7. The solution to the equation 25" = 577D s 8. Mohamed purchased a car for $16 000. It depreciates by 20% of its current value every year. How much will the car be worth 8 years after it is purchased? Record your answer to the nearest dollar. ) ) 3 3x-1 4x+6 ) 9. The value of x that satisfies the equation (n ) = (\\[11) is +/- . Record your answer to the nearest hundredth. 1. a) Draw the graph of y = 4" on the axes provided. (1 mark) .1, b) State the domain, range, intercepts, and the equations of any asymptotes. (3 marks) 16 12 ) The graph of y = b" is the reflection of y = 4" in the y-axis. State the value of b. Can the equation of the reflection of y = 4" be written another way? If so, what is it? (2 marks) 2. The graphs of three exponential functions are shown. Arrange the bases (a, b, and ) from smallest to largest. Explain why you chose this arrangement. (2 marks) y= y=b* y=a 01 x 3. Solve each equation. (8 marks) 3_) 4811 g b) 32_1'5 = j_: | s x2 &)2x * =16 16(5) = 6472