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For the following exercise, use the graph of ff in as we discussed earlier.

At what values of xx is ff discontinuous? What property of continuity is violated?


Answered 2 years ago
Answered 2 years ago
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In this exercise, we need to determine for which values ​​of xx the function f(x)f (x) is discontinuous

We will use the definition of continuity for which the following applies:

A function f(x)f(x) is continuous at x=ax = a provided all three of the following conditions hold true

  • Condition 11: f(a)f(a) exists.

  • Condition 22: limxaf(x)\lim_{x \to a}f (x) exists at x=ax = a.

  • Condition 33: limxaf(x)=f(a)\lim_{x\to a}f(x)=f (a).

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