Find the Domain Of $x$ In the Expression $\sqrt { 25 - 16 x ^ { 2 } }$

question 47

Multiple Choice

Find the domain of $x$ in the expression. Use a graphing utility to verify your result.
$\sqrt { 25 - 16 x ^ { 2 } }$

• A) \(\left[ - \frac { 5 } { 4 } , - \frac { 5 } { 4 } \right]\)
• B) \(\left[ - \frac { 4 } { 5 } , - \frac { 4 } { 5 } \right]\)
• C) \(\left[ - \frac { 4 } { 5 } , \frac { 4 } { 5 } \right]\)
• D) \(\left[ \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]\)
• E) \(\left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]\)

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Definitions:

Climate

A pattern of weather conditions in an area over a long period of time.

Sediment

Particles of organic or inorganic matter that accumulate in a solid layer on the bottom of a body of water or other liquid due to the process of sedimentation.

Naked Eye

Relating to the ability to see or observe an object or event unaided by any optical instruments, such as telescopes or microscopes.

Sandstone

A sedimentary rock consisting of sand-sized mineral particles or rock fragments compacted and cemented together.