Find All Points of Discontinuity of the Function $$h ( x ) = \left\{ \begin{aligned}4 - x & \text { if } x < 4 \\3 & \text { if } x = 4 \\x + 1 & \text { if } x > 4\end{aligned} \right.$$

question 100

Multiple Choice

Find all points of discontinuity of the function. $$h ( x ) = \left\{ \begin{aligned}4 - x & \text { if } x < 4 \\3 & \text { if } x = 4 \\x + 1 & \text { if } x > 4\end{aligned} \right.$$

• A) \(x = 0 , x = 4\)
• B) \(x = 0 , x = 4 , x = 8\)
• C) \(x = 4\)
• D) \(x = 0\)
• E) The function is continuous everywhere.

---

Definitions:

Invisible Hand

a metaphor introduced by Adam Smith to describe the self-regulating behavior of the marketplace, where individual self-interests promote the good of the community.

Economist

A professional who studies how societies use resources to produce goods and services and distribute them among various groups.

Wealth Of Nations

Refers to "The Wealth of Nations," an influential book by Adam Smith that outlines the basics of free market economics.

Government Intervention

Government intervention refers to regulatory actions taken by a government to affect or influence the economy, market operations, or social welfare.