At What Value(s) of X Is the Function Discontinuous

question 121

Essay

At what value(s) of x is the function $$f ( x ) = \left\{ \begin{array} { l l } | x + 1 | - 1 & \text { if } x < 0 \\x ^ { 2 } + x & \text { if } 0 \leq x < 1 \\3 - x & \text { if } 1 \leq x\end{array} \right.$$ discontinuous?

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Definitions:

Forward Buying

A purchasing strategy where buyers purchase larger quantities of goods than needed in the short term to take advantage of lower prices or discounts.

Buying Pattern

The habitual purchasing behavior exhibited by consumers or organizations, often influenced by factors like seasonality, economic conditions, and marketing efforts.

Promotion Period

A specific time frame during which marketing efforts or special offers are intensified to stimulate sales or awareness.

Hydrostatic Pressure

The pressure exerted by a fluid at equilibrium due to the force of gravity acting upon it.