To Graph $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 36 } = 1$

question 204

Essay

To graph $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 36 } = 1$ on a graphics calculator, we must consider the union of the graphs of the two functions, $y _ { 1 } = 6 \sqrt { \frac { x ^ { 2 } } { 16 } - 1 }$ and $y _ { 2 } = - 6 \sqrt { \frac { x ^ { 2 } } { 16 } - 1 }$ . Using the graph of $y = \frac { x ^ { 2 } } { 16 } - 1$ , explain (a) how the solution set of $\frac { x ^ { 2 } } { 16 } - 1 \geq 0$ can be determined graphically and (b) how it relates to the domain of the hyperbola.

---

Definitions:

Single Seller

A market structure where there is only one provider of a product or service.

Collusively Agreed

An arrangement or agreement among competing entities to limit competition, usually regarding pricing or market sharing.

Total Revenue

The complete revenue a company accrues from its sales activities or service offerings throughout a designated period.

Total Cost

The sum of fixed and variable costs incurred in the production of goods or services.