Question

Identify each function as S for step, C for constant, A for absolute value or P for piecewise.

Short answer

The graph of the function represents astep function (S).

Step-by-step solution

Step-1 – Apply the concept of Special functions

There are four types of special functions.

1. Step function: When graph of the function has segments that are horizontally aligned and rays in a pattern.

2. Constant function: When graph of the function has a horizontal line either horizontally or vertically. The graph of a constant function is either parallel to x-axis or y-axis.

3. Absolute function: When graph of the function is in V-shape.

4. Piecewise function: When graph of the function is composed of different curves, rays and segments in various intervals of x-axis.

Step-2 – Interpret the graph

Consider the graph provided below.

The graph of the function is in form of slant rays aligned in a fixed pattern.

Step-3 – Identify the graph

The graph represents a step function since, the slant rays are placed on under the other.

The step function is abbreviated as S.

Hence, the graph of the function represents a step function (S).