A) Sketch the graph of a function f such that 1) lim f(t)=3 t 2 2) f is continuous 3) What is f(2)? B) Take your function f from part A) and change the value of (2) so that f is not continuous. Sketch the graph of that function. A) Find the derivative of 5x2x using the definition of derivative. B) Show that the point (1,4) is on the curve y=5x2-x- C) Using part A) find the equation of the tangent line to y=5x2-x that goes through (1,4).