Name: Class: Date: ID: A MCV4U Chapter 1 Test /24 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. (1 point) Evaluate the limit: lim *-1 *4-2+x - 4 a. too C. b. 0 d. -oo 2. (1 point) Evaluate the limit: lim x+1 x(x - 1) a. too b C. -1 d -00 3. (1 point) Evaluate the limit: lim x 2 -2 a. -00 C. 0 b . 2 d. 4. (1 point) Evaluate the limit: lim = x - 2x * - 0 x a. -00 C. 0 b. - 2 d. 5. (1 point) Evaluate the limit for the graph: lim f(x). -4 -2 0 2 4 X a. too C. 3 b 1 d. does not exist 6. (1 point) The average rate of change of f(x) = ax over the interval 0 Ex - 1 is a. a b C. b. d. 07. (1 point) The difference quotient finds the a. instantaneous rate of change c. average rate of change b. jump discontinuity d. infinite discontinuity 8. (1 point) This function: 4 2 -4 -2 0 2 4 x a. has a jump discontinuity c. has a removable discontinuity b. has an infinite discontinuity d. is continuousMatching Match each graph with the graph of its derivative. a. d. 9. (1 point) 2 -4 -2 0 2 4 x -2 4 10. (1 point) 4 2 -4 -2 2 4 x -2 -4 11. (1 point) 4 2 -4 -2 0 2 4 x 2 412. (1 point) Problem 13. (3 points) Determine the equation of the tangent to x) = 3x2 + 5x + 2 at the point (1, 10). 14. (3 points) Find the point, (c,f(c)), on x) 2 .1:2 in the interval 0 S x S 4, such that f '(c) equals the average rate of change over that interval. 15. (3 points) The tangent to the function f(x) = x -9 at the point (-1, -8) is the hypotenuse of a right triangle formed with the coordinate axes. Find the area of the triangle. 8 4 4 -2 0 2 4 16. (3 points) Given f(x) = x + x + 1 and g(x) = -f(x), use the first principles definition to show that f'(a) = g'(-a) +2