At What Value of X Does the Function $f ( x ) = \frac { 1 } { 1 + x ^ { 2 } }$

question 262

Multiple Choice

At what value of x does the function $f ( x ) = \frac { 1 } { 1 + x ^ { 2 } }$ change from increasing to decreasing?

• A)1
• B) \(- 1\)
• C) \(- \frac { 1 } { 2 }\)
• D)2
• E) \(\frac { 1 } { 2 }\)
• F) \(- 2\)
• G)0
• H) \(- \frac { 3 } { 2 }\)

---

Definitions:

Bilingualism

The ability of an individual to use two languages effectively, often characterized by fluency in speaking, reading, and writing in both languages.

More Than One Language

The ability or practice of a person to communicate effectively in multiple languages.

Learning Theory Approach

An educational methodology focusing on the understanding and application of how people learn, emphasizing behavior, cognition, and motivation.

Reinforcement and Conditioning

A process in behavioral psychology where behavior is strengthened or conditioned through reinforcement, which can be positive or negative.