Question 1 If f'(5)=0, then which of following must be true? f is continuous at x=5 f has a horizontal tangent line at x=5 F (x) - f(5) lim x -5 X -5 f is differentiable at x=5 Limf(x) =0Question 2 If y=mx+b is the equation of the tangent line to the graph of f(x) = X* - X atx= -1, thenQuestion 3 Which of the following have the same meaning as "the derivative of fat x=5"? lim f(5-h) - f(5) Oh-0 h lim f(x) - f(5) D x-5 X-5 f(5)-f(x) lim 5-X /(5) Lim f(5+x)-f(5) XQuestion 4 If the position function of a moving object is s (() =* - 3t + 2 meters from zero in t seconds, then (h) it's average velocity from to1 to 3 seconds is meters per second, and (ibj its (instantaneous) velocity at t=2 seconds is meters per second.Question 5 Answer the questions based on the graph of function f is given below. Enter ONE if an answer does not exist. -2 -1 0 (b) /10)= (c) Is /(1.51207 (yes or "no") (d) lim /h - 1)- f(- 1) h -+ 0