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:

Same-sex Orientation

A romantic or sexual attraction to individuals of the same sex.

Homophobia

Prejudice or discrimination against individuals who are homosexual or perceived to be homosexual.

Sexual Minority

Individuals whose sexual orientation, identity, or practices differ from the majority, often including but not limited to gay, lesbian, bisexual, and transgender people.

Physical Contact

The act of touching or being in close proximity to another individual or object.