Determine the X Values That Cause the Function to Be $$f ( x ) = x ^ { 2 } \cdot | 2 x + 5 |$$

question 79

Multiple Choice

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.
- $$f ( x ) = x ^ { 2 } \cdot | 2 x + 5 |$$

• A) (a) \(\left\{ - \frac { 5 } { 2 } , 0 \right\}\)
• (b) \(\varnothing\)
• (c) \(\left( - \frac { 5 } { 2 } , 0 \right) \cup ( 0 , \infty )\)
• (d) \(\left( - \infty , - \frac { 5 } { 2 } \right)\)
• B) (a) \(\left\{ - \frac { 5 } { 2 } , 0 \right\}\)
• (b) \(\varnothing\) (c) \(( - \infty , \infty )\)
• (d) \(\varnothing\)
• C) (a) \(\left\{ - \frac { 5 } { 2 } \right\}\)
• (b) \(\{ 0 \}\)
• (c) \(\left( - \frac { 5 } { 2 } , 0 \right) \cup ( 0 , \infty )\)
• (d) \(\left( - \infty , - \frac { 5 } { 2 } \right)\)
• D) (a) \(\left\{ - \frac { 5 } { 2 } , 0 \right\}\)
• (b) \(\varnothing\) (c) \(\left( - \infty , - \frac { 5 } { 2 } \right) \cup \left( - \frac { 5 } { 2 } , 0 \right) \cup ( 0 , \infty )\)
• (d) \(\varnothing\)

---

Definitions:

Common Stock Account

An equity account that represents the amount of shares owned by shareholders in a corporation.

Temporary Accounts

Accounts used to record transactions for only a single accounting period, which are then reset or closed at the period's end, such as revenues, expenses, and dividends.

Supplies

Items used in the operation of a business that are not directly related to the production of goods or services, such as office supplies.

Prepaid Expenses

Payments made in advance for goods or services that will be received in the future.