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(Solved): (6 pts) Determine whether the following statements are true or false. If true, give justification as ...
(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.