Find the Domain, Range, and Asymptote of the Function $g ( x ) = 2 + \log _ { 2 } ( x + 4 )$

question 67

Multiple Choice

Find the domain, range, and asymptote of the function. $g ( x ) = 2 + \log _ { 2 } ( x + 4 )$

• A) Domain: \(( - 4 , \infty )\)
• , Range: \(( 2 , \infty )\)
• , Asymptote: \(x = - 4\)
• B) Domain: \(( 4 , \infty )\)
• , Range: \(( 4 , \infty )\)
• , Asymptote: \(x = 4\)
• C) Domain: \(( - 4 , \infty )\)
• , Range: \((-\infty, \infty )\)
• , Asymptote: \(x = - 4\)
• D) Domain: \(( - 4 , \infty )\)
• , Range: \(( - 4 , \infty )\)
• , Asymptote: \(x = 4\)
• E) none of these

---

Definitions:

Private Good

A good, such as pizza, that is both rival in consumption and exclusive.

Regressive Tax

A tax system in which the tax rate decreases as the taxable amount increases, placing a larger burden on low-income earners.

Proportional Tax

A tax system in which the tax rate stays the same, no matter the taxable amount.

Progressive Tax

A tax system where the tax rate increases as the taxable amount or income increases, placing a higher relative burden on wealthier individuals.