URGENT!!!! Please help!

AP Calculus AB Limits Question

Please Include detailed answers and explanations

to only c), d), and 2. of the question

Question is attached in picture

Graphuff The graphs of the functions f and 9 are shown above on the interval 3 5 m 5 5. The graphs consist of line segments, except where 1(a) = sfg} on the interval 0 S a: g 2. (a) Write a difference quotient that best approximates the instantaneous rate of change of 9 at a: = 4.5. '2, Please respond on separate paper, following directions from your teacher. {b} Let h (a) = g (f (2)). Find Eh 1"). Use correct limit notation in your answer. '2' Please respond on separate paper, following directions from your teacher. (c) Let H3) = Hz) +901). Consider a: = -1, :a = 2, and a = 4. At which one of these values does I: have a jump discontinuity? Justify your answer for the jump discontinuity using correct limit notation. '2' Please respond on separate paper, following directions from your teacher. {d} Values of H3) at selected values of 2 are given in the table below. What type of discontinuity does f have at a: = 1 '? Based on the values in the table, what is a reasonable estimate for 53" (3) ? Give a reason for your answer. \"mum-Imm f[:s) 2.631 2.628 2.626 2.623 2.621 Undened 2.615 2.613 2.610 2.607 2.605 '2' Please respond on separate paper, following directions from your teacher. Let f be a twice-differentiable function such that f(2)=5 and f(5)=2. Let g be the function given by g(x)=f(f(x)). 2. Let h(x)=f(x)-x. Explain why there must be a value r for 2rh(r)=0. Please respond on separate paper, following directions from your teacher