Find the Absolute Maximum and Absolute Minimum Values, If Any $f(x)=x-\sqrt{x}$

question 131

Multiple Choice

Find the absolute maximum and absolute minimum values, if any, of the function $f(x) =x-\sqrt{x}$ on [0, 25]

• A) Abs. max. \(f(25)=20\)
• Abs) min. \(f\left(\frac{1}{4}\right)=-\frac{1}{4}\)
• B) Abs. max. \(f(25)=20\)
• Abs) min. \(f(0)=0\)
• C) Abs. max. \(f(25)=20\)
• Abs) min. \(f(0)=f(1)=0\)
• D) Abs. max. \(f(0)=0\)
• Abs) min. \(f\left(\frac{1}{4}\right)=-\frac{1}{4}\)

---

Definitions:

Hostility

An emotion characterized by anger, aggression, and sometimes the intention to harm others.

Oral Stage

The oral stage is the first psychosexual development stage proposed by Freud, where an infant's pleasure centers on the mouth through activities like sucking and eating.

Excessively

To a degree exceeding normal or reasonable limits.

Fixated

In psychoanalytic theory, a term referring to the inability to progress beyond one of Freud’s psychosexual development stages, resulting in certain personality traits.