Math 381                                                                                    Name:  KEY
Quiz 9
  1. Explain fully why each of the following functions is uniformly continuous on the stated interval. You may use appropriate theorems or exercises from the book.

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    1. $f(x)=x^{2}$ on MATH

      2. MATH
       
       
    2. MATH$\quad \quad \quad $on MATH

      3. MATH
       
  2. Prove that $f(x)=x^{3}$ is uniformly continuous on $\left( 2,4\right) $ directly from the definition of uniform continuity. $\ $You will probably need the fact that MATH

    3. MATH
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