23
QuizMultiple Choice

Exponential and Logarithmic Functions — Test

Question 23 • Algebra 2 with Probability

Which statement best describes the domain and range of p times x is equal to 6 raised to the negative x power and q times x is equal to 6 to the x th power ?

Answer
A
p times x and q times x have different domains but the same range.
B
p times x and q times x have the same domain and the same range.
C
p times x and q times x have the same domain but different ranges.
D
p times x and q times x have different domains and different ranges.

Explanation

Both functions, p(x) = 6^(-x) and q(x) = 6^x, are defined for every real number x, so they have the same domain. Since a power of 6 is always positive, both functions have the range of all positive real numbers. Therefore, they have the same domain and the same range.

AI-written and checked against the verified answer.

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