3
QuizMultiple Choice

Graphing Exponential Functions

Question 3 • Adv. Algebra II S2 Original

Which statement best describes the domain and range of f(x) = –(7)x and g(x) = 7x?

Answer
A
f(x) and g(x) have the same domain and the same range.
B
f(x) and g(x) have the same domain but different ranges.
C
f(x) and g(x) have different domains but the same range.
D
f(x) and g(x) have different domains and different ranges.

Explanation

Both functions are defined for every real number x, so they have the same domain: all real numbers. Since 7^x is always positive, g(x) has range (0, ∞), while f(x) = −7^x is always negative and has range (−∞, 0). Thus they have the same domain but different ranges.

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