Final answer:
This task involves evaluating a piecewise function for x = -1 and understanding the symmetry properties of even and odd functions, as well as the result of multiplying these types of functions together.
Step-by-step explanation:
The question mainly involves evaluating a given piecewise function for a specific value of x (x = -1) and determining the function's behavior, such as whether it is even, odd, or neither based on its symmetry properties. When it comes to understanding functions, remembering that an even function is symmetric about the y-axis, and an odd function will have symmetry such that the function reflected over both axes will give the negative of the original function. Furthermore, the product of two even functions or two odd functions will always result in an even function, whereas the product of an odd and an even function will result in an odd function.
To evaluate the function at x = -1, one must determine which part of the piecewise function applies to this value. As specified in the initial information provided by the student, different expressions for f(x) are given depending on the range that x falls into. Then the appropriate expression can be used to calculate the value.