4. Show all your work. Calculator allowed. (4 - COST for a > -1 Let f be the function defined above, where c is a constant. For what value of c is f continuous f (A) 2.269 - $191 (B) 3.460 - 10. 9356 4.066 There is no such value of c.III only I and III only (D) I, II, and III 5. Show all your work. The function g is defined by g(2) = 32-32 -10 \\In '+62+9 73 +322 2 ) . At what values of a does the graph of g have a vertical asymptote? t = -3 only ( x - / 5 ) (x + 2) ( x+3) (x+2) x = 0 only C x= -3 and x = 0 only * 2 ( X + 3) (D) >= -3, x = 0, and x = 5 ( x 7 5 ) ( * + 2 ) ( x 2 ]7. Show all your work. for a 4 Let f be the function given above. On which of the following intervals is f continuous? (-5, 0) ( B ) (-1, 2) (C) (0, 3) (D) (2, 5)(C) f(x) = 12.235 ( f(x) = 76.999 11. i O -CV - 2 - Graph of f* Let f be a differentiable function with f(1) = 3. The graph of f', the derivative of f, is shown above. Whit the following statements is true about the line tangent to the graph of f at x = 1? (A) The tangent line has slope 2 and passes through the point (1, 3). The tangent line has slope 2 and passes through the point (1, 2). The tangent line has slope 0 and passes through the point (1, 3). The tangent line has slope 0 and passes through the point (1, 2).Calculator allowed Let f be the function given by f(x) = 24+ 2x3 - 5x2 + tan (5 ). Of the following values of x, at wh does the line tangent to the graph of f have the greatest slope? (A) *=-2 - 8 =-1 5 =0 -1 c = 1 m35. Show all your work. Let f be the function defined by f(x) 2"15 for x > 0. Which of the following is a horizontal asymptote to the graph of f ? (A) y = 0 = y=1 (D) There is no horizontal asymptote to the graph of f