(6 pts) Determine whether the following statements are true or false. If true, give justification as to why. If false,
provide a counterexample. This counterexample may be the equation for a function or just a graph of the function.
(a) With manipulation, we can use Newton's Method to determine when two functions, y=f(x) and y=g(x) are
equal.
(b) Let f be differentiable at x=a. Then we can use the linearization of f at x=a to accurately approximate f(x)
(accurate within .1), for any x in the domain of f.
(c) If the tangent line to f at x=a lies above the graph of f, then the linearization, y=L(x) underestimates f(x)
for any x very close to a.
