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Magazine Chapter 3: Q61. (page 115)
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 anabsolute value function (A).
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 is V-shaped.
Step-3 – Identify the graph
The graph represents an absolute value function since, the graph is V-shaped.
The absolute value function is abbreviated as A.
Hence, the graph of the function represents an absolute value function (A).
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