$\text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { x } { x ^ { 2 } - 2 x } \text { is not continuous. }$

question 72

Multiple Choice

$\text { Find the } x \text {-values (if any) at which } f ( x ) = \frac { x } { x ^ { 2 } - 2 x } \text { is not continuous. }$

• A) \(f ( x )\) is not continuous at \(x = 0\) and \(f ( x )\) has a removable discontinuity at \(x = 0\).
• B) \(f ( x )\) is not continuous at \(x = 0,2\) and both the discontinuities are nonremovable.
• C) \(f ( x )\) is not continuous at \(x = 2\) and \(f ( x )\) has a removable discontinuity at \(x = 2\).
• D) \(f ( x )\) is not continuous at \(x = 0,2\) and \(f ( x )\) has a removable discontinuity at \(x = 0\).
• E) \(f ( x )\) is continuous for all real \(x\).

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Definitions:

Standard Cost

A predetermined cost of manufacturing, selling, or administering each product or service, used as a benchmark to measure performance.

Financial Statements

Reports that provide an overview of a company's financial condition in both short and long term, including balance sheet, income statement, and cash flow statement.

Labor Quantity Variance

Labor quantity variance measures the difference between the actual number of hours worked and the number of hours that should have been worked according to standards, multiplied by the standard hourly wage rate.

Direct Labor Hours

The total hours of work contributed by employees who are directly involved in the manufacturing process.