At x=0 it has a very pointy change! But it is still defined at x=0, because f (0)=0 (so no hole), And the limit as you approach x=0 (from either side) is also 0 (so no jump), So it is in fact continuous. (But it is not differentiable at x=0)
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A continuous function is a function that can be drawn without lifting your pen off the paper while making no sharp changes, an unbroken, smooth curved line. While, a discontinuous function is
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Mathematics is the study of numbers, shapes and patterns. It is used to solve problems in everyday life, science, engineering and business.
From the above examples, notice one thing about continuity: if the graph doesn't have any holes or asymptotes at a point, it is always continuous at that point. Properties of Continuity Here are some properties of continuity of a function. If
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To determine a math equation, one would need to first identify the unknown variable and then use algebra to solve for it.
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