I'm in AP Calculuc and was given a homework package, which is an old university introductory calculus exam. There is one particular question with which I'm having a terrible time. It is known that f(0)=5 and the tangent line to the graph of f(x) at (0,5) is y=5+3x. It is also known that abs(f''(x))<1/16 for all x. Determine a value of M (as small as possible) such that the error in using the tangent line as an approximation of f(x) on the interval [-2,2] is guaranteed to e smaller than M. This is quite confusing. I don't even know what I should be approximating, and I don't know what M represents. I know the rules say that we should post our attempts at the problem, but I honestly have no idea where to start other than drawing a diagram of this.