Let $f ( x , y , z ) = \sqrt { 4 - x ^ { 2 } - y ^ { 2 } - z ^ { 2 } }$

question 87

Essay

Let $f ( x , y , z ) = \sqrt { 4 - x ^ { 2 } - y ^ { 2 } - z ^ { 2 } }$ .(a) Evaluate $f ( 1 , - 1,1 )$ .(b) Sketch the domain of $f$ .(c) What is the range of the function $f$ ?

---

Definitions:

Evaluation

The systematic assessment of the merit, value, or significance of an object, project, or program, based on criteria and standards.

Cognitive Dissonance

The mental discomfort experienced by a person who simultaneously holds two or more contradictory beliefs, ideas, or values.

Inconsistent Behavior

Actions or responses that vary significantly over time or across situations, lacking predictability.

Attitudes

A settled way of thinking or feeling about something or someone, typically reflected in a person's behavior or expressed viewpoints.