Let $\mathbf { r } ( t ) = \left\{ \sqrt { 2 - t } , \frac { \left( e ^ { t } - 2 \right) } { t } , \ln ( t + 1 ) \right\}$

question 144

Multiple Choice

Let $\mathbf { r } ( t ) = \left\{ \sqrt { 2 - t } , \frac { \left( e ^ { t } - 2 \right) } { t } , \ln ( t + 1 ) \right\}$
Find the domain of $r$ .

• A) \(( - 1,0 ) \cup ( 0,2 ]\)
• B) \(( 2 , \infty ]\)
• C) \([ 2,0 ) \cup ( 0,2 )\)
• D) \(( - \infty , - 1 )\)
• E) \(( - 1,2 ]\)

---

Definitions:

Cost of Goods Sold

The direct costs attributable to the production of the goods sold in a company, including materials and labor.

Sales-Type Lease

A lease arrangement where the lessor recognizes profits from both the sale of the leased asset and the interest on the lease payments.

Unguaranteed Residual Value

The estimated end-of-lease value of an asset that is not guaranteed by the lessee or a third party.

Gross Profit

The difference between sales revenue and the cost of goods sold before deducting selling, general, and administrative expenses.