Mathematical Scratchpad

Math 140 Practices

  1. If $f(x)=\cos ^{-1}x$ or $\arccos (x).$ Then

    1. find the domain and range for $f.$

    2. sketch the graph of $f.$

  2. If $f(x)=\sin ^{-1}x$ or $\arcsin (x).$ Then

    1. find the domain and range for $f.$

    2. sketch the graph of $f.$

  3. If $f(x)=\tan ^{-1}x.$ Then

    1. find the domain and range for $f.$

    2. sketch the graph of $f.$

  4. Find the exact vaule of the expression without using a calculator

    1. MATH

    2. MATH

    3. MATH

    4. MATH

    5. MATH

  5. Write an algebraic expression that is equivalent to the given expression.

    1. MATH

    2. MATH

  6. Prove MATH graphically.

  7. Prove MATH

  8. Prove MATH

  9. If the graph of $y=\csc (x)$ is given, then

    1. find the vertical asymptotes for MATH

    2. sketch MATH by changing the units from $y=\csc (x).$

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