Identify the Open Intervals Where the Function $f ( x ) = 4 x ^ { 2 } + 6 x - 1$

question 42

Multiple Choice

Identify the open intervals where the function $f ( x ) = 4 x ^ { 2 } + 6 x - 1$ is increasing or decreasing.

• A)decreasing: \(\left( - \infty , - \frac { 3 } { 4 } \right)\) ; increasing: \(\left( - \frac { 3 } { 4 } , \infty \right)\)
• B)increasing: \(\left( - \infty , - \frac { 3 } { 4 } \right)\) ; decreasing: \(\left( - \frac { 3 } { 4 } , \infty \right)\)
• C)increasing on \(( - \infty , \infty )\)
• D)decreasing on \(( - \infty , \infty )\)
• E)none of the above

---

Definitions:

Fertile Females Theory

A hypothesis in evolutionary biology suggesting that certain behavioral or physical traits in females signal reproductive potential to males.

Fraternal Birth-Order Effect

A phenomenon where the more older brothers a man has, the higher his likelihood of being homosexual.

Genetic Basis

The underlying genetic makeup or heritable factors that contribute to the physical and behavioral characteristics of an organism.

Erotic Plasticity

The degree to which an individual's sex drive or sexual interests can be shaped and altered by cultural, social, and situational factors.