Determine Where the Function Is Increasing and Where It Is $$f ( x ) = - 4 x ^ { 2 } - 2 x - 11$$

question 40

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$f ( x ) = - 4 x ^ { 2 } - 2 x - 11$$

• A) increasing on \(\left( - \infty , - \frac { 1 } { 4 } \right)\)
• decreasing on \(\left( - \frac { 1 } { 4 } , \infty \right)\)
• B) increasing on \(\left( - \infty , \frac { 1 } { 4 } \right)\)
• decreasing on \(\left( \frac { 1 } { 4 } , \infty \right)\)
• C) decreasing on \(\left( - \infty , - \frac { 1 } { 4 } \right)\)
• increasing on \(\left( - \frac { 1 } { 4 } , \infty \right)\)
• D) increasing on \(\left( - \infty , - \frac { 43 } { 4 } \right)\)
• decreasing on \(\left( - \frac { 43 } { 4 } , \infty \right)\)

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Definitions:

Horizon Value

The estimated value of a company or investment at the end of a specific period, taking into account future cash flows or income it will generate.

Weighted Average

A calculation that takes into account the varying degrees of importance of the numbers in a data set.

Cost Of Capital

The minimum yield a firm needs to generate from its investment endeavors to sustain its market valuation and appeal to investors.

Free Cash Flow

The sum of money a business produces after deducting the capital expenses required to sustain or grow its assets.