Final answer:
A linear function will have an absolute minimum and absolute maximum on any infinite domain.
Step-by-step explanation:
The correct answer is A) Linear function.
A linear function is a function that can be expressed in the form f(x) = mx + b, where m and b are constants. This type of function has a straight line graph and will have an absolute minimum or maximum on any infinite domain.
On the other hand, quadratic functions (B) can have a minimum or maximum depending on the coefficient of the x^2 term, exponential functions (C) do not have a maximum or minimum, and periodic functions (D) repeat their values and do not have an absolute maximum or minimum.