Question

Assume that all variables are properly declared. The following statement in a value-returning function is legal.

if (x % 2 == 0)
return x;
else
return x + 1;

Answer 1

The question concerns a programming function that returns different values based on whether a number is even or odd. This concept has parallels in mathematics, where the product of even and odd functions has different properties. However, the specifics of programming functions differ from the mathematical multiplication of even and odd functions.

Step-by-step explanation:

The statement provided pertains to a value-returning function in computer programming, where the function returns different values based on a condition. The condition here is whether the variable x is even or odd, determined by the modulus operator (%). If x is even (i.e., x mod 2 equals 0), the function returns x; otherwise, it returns x + 1. This conditional operation is commonly used in programming to control the flow of execution.

This statement also provides a practical example of how even and odd functions can be used in programming, although it does not explicitly discuss the multiplication of even and odd functions. In mathematical functions, an even function times an even function results in an even function, and similarly, an odd function times an odd function also results in an even function. However, an odd function times an even function results in an odd function. These mathematical concepts are related but not directly applicable to the code statement provided.