Question

blank is a function that returns the same expression for both x and −x; this means f(x)=f(-x) for all values of x.

Answer 1

The term you're looking for is "even function." An even function is defined by the property that \( f(x) = f(-x) \) for all values of \( x \). This means that the graph of an even function is symmetric with respect to the y-axis. Examples of even functions include \( f(x) = x^2 \) and \( f(x) = \cos(x) \).