Question

what are the domain and range of the function (f(x) = 3^x + 5)?

domain: ((-infty, infty)); range: ((0, infty))
domain: ((-infty, infty)); range: ((5, infty))
domain: ((0, infty)); range: ((-infty, infty))
domain: ((5, infty)); range: ((-infty, infty))

Explanation:

Determine the domain

Using the Domain of Exponential Functions knowledge point

$$ \text{Domain} = (-\infty, \infty) $$

Determine the range

Using the Range of Exponential Functions and Exponential Function Transformations knowledge points

$$
LATEXBLOCK0
$$

Answer:

• domain: \((-\infty,\infty)\); range: \((0,\infty)\)
• domain: \((-\infty,\infty)\); range: \((5,\infty)\) (Correct answer)
• domain: \((0,\infty)\); range: \((-\infty,\infty)\)
• domain: \((5,\infty)\); range: \((-\infty,\infty)\)