Provide an Appropriate Response $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 36 } = 1$

question 74

Essay

Provide an appropriate response.
-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.

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Definitions:

Statement of Cash Flows

A document illustrating the impact of changes in balance sheet positions and profits on cash and cash equivalents.

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Refers to the primary day-to-day activities of a business related to its production, sale, and delivery of goods and services, impacting the cash flow from operations.

Indirect Method

A method of reporting cash flows from operating activities by starting with net income and adjusting it for items that affected reported net income but did not affect cash.

Net Income

The total profit of a company after all expenses, including taxes and operating costs, have been subtracted from total revenue.