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Question
For the following exercise, use the graph of $f$ in as we discussed earlier.
At what values of $x$ is $f$ discontinuous? What property of continuity is violated?
Solution
VerifiedAnswered 2 years ago
Answered 2 years ago
Step 1
1 of 8In this exercise, we need to determine for which values of $x$ the function $f (x)$ is discontinuous
We will use the definition of continuity for which the following applies:
A function $f(x)$ is continuous at $x = a$ provided all three of the following conditions hold true

Condition $1$: $f(a)$ exists.

Condition $2$: $\lim_{x \to a}f (x)$ exists at $x = a$.

Condition $3$: $\lim_{x\to a}f(x)=f (a)$.
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