1. Find the equation of the line tangent to f(x) = x2 + 2x + 1 at x = -3.

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  2. Investigate y = |x3 - 1| at its x-intercept.  What characteristic keeps the function from being differentiable there?

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  3. Investigate f(x) = (x - 2)1/3 at x = 2.  What characteristic keeps the function from being differentiable there?

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  4. Investigate  at x = 2.  What characteristic keeps the function from being

    5. differentiable there?

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  5. Investigate    at x = 2.  What characteristic keeps the function from being

    6. differentiable there?

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  6. Investigate     at x = 0.

    7. What characteristic keeps the function from being differentiable there?

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