Determine, Without Graphing, Whether the Given Quadratic Function Has a Maximum

question 298

Multiple Choice

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
- $$f ( x ) = 4 x ^ { 2 } + 12 x$$

• A) minimum; \(- \frac { 3 } { 2 }\)
• B) minimum; - 9
• C) maximum; \(- \frac { 3 } { 2 }\)
• D) maximum; - 9

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Definitions:

Cis/trans Designation

A way to distinguish isomers by the relative positioning of functional groups within a molecule; cis means on the same side and trans means on opposite sides.

Compound

A substance formed by the chemical combination of two or more elements in a fixed ratio.

Major Constituent

The component present in the greatest amount in a mixture or compound.

Natural Gas

A fossil fuel consisting mainly of methane, used as an energy source for heating, cooking, and electricity generation.