Sketch the Function Represented by the Given Parametric Equations $$x = 2 ^ { t } , y = t$$

question 162

Multiple Choice

Sketch the function represented by the given parametric equations. Then use the graph to determine each of the
following:
a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing.
b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at
which the function has a minimum and this minimum value.
- $$x = 2 ^ { t } , y = t$$

• A) Increasing on: \(( 0 , \infty )\)
• B) Increasing on: \([ 1 , \infty )\); Minimum: \(( 1,1 )\)
• C) Increasing on: \(( 0 , \infty )\)
• D) Decreasing on: \(( 0 , \infty )\)

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Definitions:

Preferred Dividends

Preferred dividends are payments made to preferred shareholders before any dividends are paid to common shareholders, usually fixed and based on a percentage of the par value of the shares.

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A financial ratio indicating how many times a company collects its average accounts receivable balance in a period.

Net Sales

The total revenue from sales of goods and services, after deducting returns, allowances for damaged or missing goods, and any discounts allowed.

Net Accounts Receivable

The total amount of money owed to a company by its customers minus the portion expected to be uncollectible.