Question

The greatest integer function and absolute value function are both examples of functions that can be defined ______.

a. as Piecewise functions.
b. as Linear functions.
c. as Exponential functions.
d. as Quadratic functions.

Answer 1

The greatest integer and absolute value functions can be defined as piecewise functions, characterized by their step-like and V-shaped graphs, respectively.

Step-by-step explanation:

The greatest integer function and absolute value function are both examples of functions that can be defined as Piecewise functions. The greatest integer function, also known as the floor function, maps a real number to the greatest integer less than or equal to it, creating a series of step-like discontinuities. The absolute value function takes a real number and returns its non-negative magnitude, which results in a V-shaped graph. These characteristics are typical of piecewise functions, which are defined by different expressions over different intervals.