24
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 24 • Algebra 2 with Probability

Which statement best describes the domain and range of f of x is equal to negative 7 to the x th power and g of x is equal to 7 to the x th power ?

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

Explanation

Both functions are defined for every real number x, so they have the same domain. Since 7^x is always positive, g(x)=7^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.

AI-written and checked against the verified answer.

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