8. Which of the following represents the definition of the derivative of the function y =f(x)? A. dy = lim- f ( x - h) - f(x) dx h -0 h B. dy = lim f ( xth) - f(x) dx C. dy = lim f( xth)+f(xx) dx h - h D. dy f ( x - h)+f(x) dx h -+ 9. Let f (x) = ; what is the derivative of f(x)? A. x-2 B. x 2 C. 2Vx3 D. 2Vx32. Consider the following graph. - - - - - - -- What is the equation of the asymptote present? A. y= 3 B. x=3 C. y = _ D. y = = x 2 Questions 3-4 depends on the following graph of the arbitrary function y = f(x). N - 1 2 3 4 5 6 3. What is the value of f(x) when x = 3? A. The graph is undefined when x = 3 B. 0 C. 1 D. 413.1f%>0 at x=a, then f(x) Is increasing at x = a. Is decreasing at x = a. Is stationary at x = a. 53.05\"? Has a vertical asymptote at x = a. 14. Which of the following is a step when determining the stationary point of the function y = f ( I)? A. Determining the limit of at). B. Prove that the function is continuous. C. Determine the rst derivative of f (x) D. Prove that the tangent line is sloping at the stationary point(s). 10. How many turning points does the function y = f (x), shown in the following graph have? y=f(x) A. 1 B. 2 C. 4 D. 3 11. What is the value of at any stationary point? A. DNE B. 0 C. Always negative D. Always positive 12. If y = f(x) and =0 at (x,, y,) where (x,, y, ) is a coordinate on f(x) then this dx coordinate is called A. An inflexion point B. A stationary point C. A point of discontinuity D. A derivative point4. What is lim f (x)? A. 3 B. 1 C. 4 D. No limit exists as x approaches 3 from below. 5. Which of the following is a necessary condition for a function y = f(x) to be continuous at x = a? A. An asymptote MUST exist at x = a. B. The function must be defined at x = a. C. The limit of f(x) may does not exist at x = a. D. dy = 0 atx = a. dx 6. What is the value of the following limit? (x2 - 4) lim- * + 2 x-2 A. 2 B. co C. DNE D. 4 7. Let lim f (x) = L and limg (x) = M; which of the following is correct for lim f (x) +8(x)) ? x->a A. LIM B. MFL C. L. M D.SECTION A Instructions: Attempt ALL questions in this section. 1. Let f(x) be a function; what does it mean to say "f(x) has a limit at x = a"? A. The function is defined at x = a. B. The left-hand limit exists at x = a. C. The right-hand limit exists x = a. D. The left-hand limit and right-hand limit exist at x = a and are both equal