Provide an Appropriate Response $y = x ^ { 2 } - 23$

question 253

Essay

Provide an appropriate response.
-Find an appropriate viewing window for the function $y = x ^ { 2 } - 23$ , for $x$ -values between $- 10$ and 10 . Answer: Answers may vary. A possible answer is $\mathrm { y } _ { \min } = - 46$ and $\mathrm { y } _ { \max } = 0$ . 14 Which window gives a better view of the graph of the function $y = ( x + 15 ) ^ { 3 }$ :
$$\begin{array} { l } x _ { \min } = - 10 , x _ { \max } = 10 , y _ { \text {min } } = - 10 , y _ { \text {max } } = 10 \text { or } \\x _ { \text {min } } = - 17 , x _ { \text {max } } = - 13 , y _ { \text {min } } = - 10 , y _ { \text {max } } = 10\end{array}$$

---

Definitions:

Marginal Costs

The added cost of producing one additional unit of a product or service.

Indifferent

A state of having no preference between two or more options, showing neither favor nor disfavor.

Variable Costs

Costs that vary directly with the level of production or sales volume.

Average Costs

The total costs (fixed and variable) of production divided by the total quantity of output, indicating the cost of producing each unit.