Find All Points of Discontinuity of the Function A) $x = 0 , x = 4$

question 92

Multiple Choice

Find all points of discontinuity of the function. $$g ( x ) = \left\{ \begin{aligned}x + 5 & \text { if } x < 0 \\3 x + 5 & \text { if } 0 \leq x < 4 \\x ^ { 2 } + 5 & \text { if } x \geq 4\end{aligned} \right.$$

• A) \(x = 0 , x = 4\)
• B) \(x = 0\)
• C) \(x = 0 , x = 4 , x = 6\)
• D) \(x = 4\)
• E) The function is continuous everywhere.

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Definitions:

No Change

A term indicating that a variable or condition remains constant or unaltered in a given context.

Product Demand

The desire and willingness of consumers to buy a specific product, influenced by factors such as price, quality, and consumer preference.

Pure Monopolist

A market structure where a single firm controls the entire market for a product or service, with no close substitutes and high barriers to entry.

Marginal Revenue Curve

A graphical representation showing how marginal revenue varies with changes in quantity sold.