Consider the function [ y=f(x)=1-x^{2} ] 1. For what values of ( x ) is ( f(x) ) strictly increasing? Strictly decreasing? 2. Solve the problem [ max _{x} 1-x^{2} ] Argue that the FOC gives you a maximizer. 3. Without putting any restriction on ( x ), does the function ( f(x)=1-x^{2} ) have a well-defined minimum? In other words, can

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Consider the function  [ y=f(x)=1-x^{2}  ] 1. For what values of  ( x  ) is  ( f(x)  ) strictly increasing? Strictly decreasing? 2. Solve the problem  [  max _{x} 1-x^{2}  ] Argue that the FOC gives you a maximizer. 3. Without putting any restriction on  ( x  ), does the function  ( f(x)=1-x^{2}  ) have a well-defined minimum? In other words, can you find an actual value of  ( x  ) so that  ( f(x)  ) is the lowest?

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(Solved): Consider the function \[ y=f(x)=1-x^{2} \] 1. For what values of \( x \) is \( f(x) \) strictly in ...

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