only information you have on a certain function f(x) is : 1) f(x) changes when x

Q: only information you have on a certain function f(x) is : 1) f(x) changes when x

Not possible. Let p(x) be any polynomial (for example, the nth order expansion of f(x)). Then EITHER (1) p(x) is constant [doesn't change as x changes] OR (2) p(x) goes to +infinity or -infinity as x goes to infinity. In case (1), p(x) can't share ink with f(x) over the whole range -infinity

ID: 3287943 • Letter: O

Question

only information you have on a certain function f(x) is : 1) f(x) changes when x changes, and 2) -1 <= f(x) ,<= 1 for all x's between - infinity and + infinity. Is it possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from - infinity and + infinity? HINT:Suppose p(x) is the polynomial equal to a partial expansion of f(x). What happens to the "legs" of any polynomial no matter what it's degree? Think of y = x^2 or y = x^3.So can p(x) share ink with f(x) between - infifinity and infifinity if f(x) is bounded between -1 and 1? Please Explain this in detail, not answer.

Explanation / Answer

Not possible. Let p(x) be any polynomial (for example, the nth order expansion of f(x)). Then EITHER (1) p(x) is constant [doesn't change as x changes] OR (2) p(x) goes to +infinity or -infinity as x goes to infinity. In case (1), p(x) can't share ink with f(x) over the whole range -infinity

Navigate

only information you have on a certain function f(x) is : 1) f(x) changes when x

only last part! A coal car m_j = 4578 kg is rolling down the tracks at a velocit

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.

only information you have on a certain function f(x) is : 1) f(x) changes when x

Question

Explanation / Answer

Related Questions

Navigate