Which best describes the range of the function f (x) = 2/3 (6) x after it has been reflected over the x-axis?

A. all real numbers

B. all real numbers less than 0

C. all real numbers greater than 0

D. all real numbers less than or equal to 0

The correct answer is:

D) all real numbers less than or equal to 0.

Explanation:

When you reflect a function across the x-axis, you negate every y-coordinate in the function.

In our original function, our y-values will all be positive. Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.

The right answer for the question that is being asked and shown above is that: "D. all real numbers less than or equal to 0." This is the statement that best describes the range of the function f (x) = 2/3 (6) x after it has been reflected over the x-axis