Final answer:
The student's question is about reflecting a function across the y-axis and determining if the function is even or odd. This involves checking the original function against its reflection by substituting x with -x.
Step-by-step explanation:
The question is based on the mathematical concept of function transformation, specifically reflection across the y-axis.
Reflecting a function across the y-axis is achieved by replacing every x in the function f(x) with -x. This process creates a new function f(-x) that is a mirror image of the original function across the y-axis.
An even function is one that is symmetric about the y-axis, meaning that f(x) = f(-x). On the other hand, an odd function is one that is symmetric about the origin, which can be checked by verifying if f(-x) = -f(x). To find out if the given function f(x) = -|3x + 91 - 6 is symmetric about the y-axis, we'd replace x with -x and see if the resulting expression is equivalent to the original function.