Graph the Function $$\begin{array} { l } \mathrm { f } ( \mathrm { x } ) = \log _ { 2 } ( \mathrm { x } + 2 ) \\\end{array}$$

question 37

Multiple Choice

Graph the function. Give the domain and range.
- $$\begin{array} { l } \mathrm { f } ( \mathrm { x } ) = \log _ { 2 } ( \mathrm { x } + 2 ) \\\end{array}$$

• A) domain: \(( - 2 , \infty )\); range: \(( \infty , \infty )\)
• B) domain: \(( \infty , \infty )\); range: \(( 2 , \infty )\)
• C) domain: \(( 0 , \infty )\); range: \(( \infty , \infty )\)
• D) domain: \(( \infty , \infty )\); range: \(( 0 , \infty )\)

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Definitions:

Volcanic Dome

A rounded volcanic feature created by thick lava that does not flow far from its eruption site, often forming after an eruption.

Scoria Cone

A small, steep volcanic cone built from lava fragments (scoria) ejected during gas-charged explosive eruptions.

Pumice

A light, porous volcanic rock formed from explosive eruptions, known for its ability to float on water.

Welded Tuff

A type of rock formed from volcanic ash ejected during an eruption, which then falls and welds together under high temperature and pressure.