Wednesday, May 14, 2014

Unit U Piecewise Assignment - HOT examples

Example of some HOT observations:
    1. My graph only has two jump discontinuities because even though it changes equation at x=1, the limit and the value are the same.  The Limit as x → 1 is 4 and f(1)=4
    2. My graph has values (actual heights) at all x-values except for at x=2.  This is because there is a jump discontinuity and each side of the graph ends with an open circle.  The value at x=2 is undefined.
    3. My graph has no infinite discontinuities because those only exist at vertical asymptotes and the functions included in my graph (constant, linear, quadratic, square root) do not have vertical asymptotes.

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