This chapter reviews the real-valued functions on space, with fully
solved examples that show the application and usefulness of their components to
deal with practical problems. Then, we see the types of functions that the reader will
often find in academic and research activities. Later, another family of functions
called Vector-Valued Functions is defined and its usefulness in solving application
problems is shown with examples. Finally, both types of functions are generalized
for higher-dimension spaces.
Keywords: Absolute value, functions, high-dimensional RVF, main RVF, polynomial RVF, several variables functions, trigonometry RVF, ute-value real-valued functions, vector-valued functions.