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

question 285

Multiple Choice

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

• A) increasing on \(( 2 , \infty )\)
• decreasing on \(( - \infty , 2 )\)
• B) increasing on \(( - 2 , \infty )\)
• decreasing on \(( - \infty , - 2 )\)
• C) increasing on \(( - \infty , - 2 )\)
• decreasing on \(( - 2 , \infty )\)
• D) increasing on \(( - \infty , 2 )\)
• decreasing on \(( 2 , \infty )\)

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Definitions:

Average Fixed Cost

The fixed costs (costs that do not change with the level of output) of producing a good or service, divided by the quantity of output produced.

Total Cost

The entire cost of production, including both fixed and variable costs.

Average Total Cost

Average total cost is the total cost of production (fixed plus variable costs) divided by the total quantity produced, indicative of the cost per unit at different levels of output.

Average Variable Cost

The total variable cost per unit of output, found by dividing total variable costs by the quantity of output produced.