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.

---

Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.