Mark All TRUE Statements $f(x)=|x-3|$ Is Continuous at X = 0 $g(x)=\sqrt[3]{x}$

question 15

Multiple Choice

Mark all TRUE statements.

• A) \(f(x)=|x-3|\)
• is continuous at x = 0.
• B) \(g(x)=\sqrt[3]{x}\)
• fails to be differentiable at x = 0.
• C) \(h(x)=|x+5|\)
• is not continuous at x = -5.
• D) \(r(x)=\frac{(x-3)^{2}}{(x-3)}\)
• is continuous for all values of x.
• E)Any polynomial function is differentiable for all values of x.

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Definitions:

Fixed Overhead

Costs that do not change with the level of output, including rent, salaries, and insurance premiums.

Administrative Costs

Expenses that are not directly tied to production or sales, such as office expenses, salaries of administrative personnel, and legal fees.

Incremental Income

The additional income that is generated as a result of a specific business decision or activity.

Incremental Costs

Additional costs associated with producing one extra unit of a product or delivering an additional service.