MATH 203 Spring 2009

TEST 1

7 problems, 10 points each

Instructions:

1. Show enough work to justify your answers

2. Write the problems in the given order.

3. Don't leave blank pages.

  1. (a) Finish the sentence: "Function $f$ is continuous at $x=a$ if ... " (the definition). (b) Use the definition in part (a) to prove that the function $f$ defined below is continuous at $a=0.$
    MATH

    MATH

  2. The graph of function $f$ is given below. (a) At what points is $f$ continuous? (b) At what points does the derivative of $f$ exists?
    e1-09__14.png

    MATH

  3. Compute the derivative of $h(x)=3x^{2}-2x$ at $a=1$ by evaluating a certain limit.
    MATH

  4. Evaluate MATH
    MATH

  5. Find the derivative of MATH

  6. Find MATH
    MATH

  7. Find MATH

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