Multiple choice

Part A: Multiple Choice [K9- 1 mark per question] Choose the most correct answer to each question, Record all answers on page 1. I, The average rate of change for f(x) = 3x2 - 4x over the interval [-1,3] is: a. 2 C. 4 b. B d. 11 r(5) V (cm') 2. A birthday balloon is being filled with helium. The table on the right shows the volume of helium in the balloon, V in cm , at time t, in 3-second intervals for 4.2 30 seconds. What is the average rate of change of the volume with respect to 33.5 time in the interval from 6 s to 15 s? 113.0 a. 489.8 cm /s c. 54.4 cm /s 12 267.9 b. 18.1 cm /s d. 72.6 cm3 /s 15 523.3 18 904.3 21 1436.0 3. Evaluate the limit if it exists: lim 3(x - 2): 24 2143.6 a. -6 c. 3 27 3052.1 b. 0 d. Does not exist 30 41867 4. Evaluate the limit if it exists: lim +2x-15 3 x2-9 c. 0 b. d. does not exist 5. At which of the following graph features must a function be continuous and not differentiable? a. An inflection point c. A hole b. A cusp d. All of the above MCV4U1 - Unit 1 Test Page 1 of 5 6. If the tangent line to the graph of a function f(x) at point (1,4) passes through the point (3, -12), then f(1) is: a. c. -16 b. - 2 d. -8 Refer to the graph of f (x) shown to the right to answer Questions #7-9. 7. What type of discontinuity does the function have at x = 1? a. it is continuous c. infinite b. jump d. removable 8, Evaluate: lim f(x) - 3 C. 0 b. 2 d. does not exist . At which value(s) of x is f (x) discontinuous? a. -3,-1, 2 C. -1, 0, 1 b. 0,1 d. -3,-1, 1,2