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:

Legal Basis

The foundational legal principles or grounds upon which laws, regulations, and judicial decisions are built.

54th Massachusetts

An all-black regiment in the Union Army during the American Civil War, known for its bravery and made famous by its assault on Fort Wagner.

Fort Wagner

A fortification on Morris Island in South Carolina that was the site of an important battle during the American Civil War, known for the valiant charge of the 54th Massachusetts Volunteer Infantry, one of the first major African American units in the U.S. Army.

Integrated Regiment

A military unit consisting of soldiers from different races or backgrounds, combined to serve together as one entity.