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Find the x-Values (If-Any) at Which F Is Not Continuous

A. Critical points
B. Points of inflection
C. Discontinuities
D. Extrema

User PaFi
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1 Answer

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Final answer:

The x-Values at which F is not continuous are the points of discontinuities.

Step-by-step explanation:

The answer to this question is C. Discontinuities. Discontinuities are points at which a function is not continuous.

A function is considered continuous if it is defined and has a finite limit at every point in its domain. If a function has any points where it is not defined or where it has a jump or a vertical asymptote, then it is discontinuous at those points.

For example, the function f(x) = 1/x is discontinuous at x = 0 because it is not defined at that point. Another example is the function g(x) = 1/(x-1), which is discontinuous at x = 1 because it has a vertical asymptote at that point.

User Qubei
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