2018SPx A O in 21 hours Get Help B Save Erase Problem #3: Your answer to this qu

Question

2018SPx A O in 21 hours Get Help B Save Erase Problem #3: Your answer to this question should be typed or written in a separate document and labeled as Problem 3 You can add to the document containing your answers from problems 1 and 2. For problems 1 and 2 you had to find an interval of input values that would satisfy an arbitrarily small interval of output values (if the word arbitrary is throwing you off, chat with your instructor). Can this be done for any function? If yes, explain why. If not, provide a graph or function of a counter example and explain why it is a counter example. A counterexample in this instance is a function AND an interval of output values for which you cannot find a corresponding interval of input values, as you have been able to in 1 and #2. Note: For the following problems, you may find it helpful to look at a graph of the functions

Explanation / Answer

Lets consider the function f(x) = k, where k = constant

This is a constant function.

No matter what x is, y = k here

So, no matter how small an interval of y,
we cannot find an input that satisfies this.

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