17
QuizMultiple Choice

Exponential Functions — Test

Question 17 • Algebra I

Which best describes the range of the function f of x is equal to 2 thirds times 6 to the x th power after it has been reflected over the x -axis?

Answer
A
all real numbers greater than 0
B
all real numbers less than 0
C
all real numbers
D
all real numbers less than or equal to 0

Explanation

Since 6^x is positive for every real x, (2/3)·6^x is always positive. Reflecting the graph over the x-axis multiplies all its y-values by −1, so the resulting values are always negative. The function can approach 0 but never equals 0, so its range is all real numbers less than 0.

AI-written and checked against the verified answer.

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