9
QuizMultiple Choice

Graphing Exponential Functions

Question 9 • FL-1200330-Algebra 2 CR

Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x?

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

Explanation

Both functions are linear and are defined for every real number x, so they have the same domain: all real numbers. Since each has a nonzero slope, each function can also produce every real output, so their ranges are the same: all real numbers. Therefore, p(x) = 6 − x and q(x) = 6x have the same domain and the same range.

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