Example of some HOT observations:
- 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
- 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.
- 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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