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

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Definitions:

Symptom-Exacerbation

The deterioration or aggravation of a disease or condition's symptoms.

Masked

Concealed or hidden, often referring to emotions, intentions, or symptoms that are not visibly apparent or are deliberately obscured.

Placebo

A substance or treatment which is designed to have no therapeutic value, commonly used as a control in testing new drugs.

Correlation Coefficient

A statistical measure that describes the degree to which two variables move in relation to each other, ranging from -1 to 1.