Question

question 29 points 1

the given graph is an example of ________ function.

piecewise-linear
pairwise-linear

Explanation:

Analyze the graph components

The graph consists of two distinct straight-line segments defined over different intervals of the domain:

• A horizontal line segment on the left, ending with an open circle at \(x = -1\).
• A slanted line segment on the right, starting with an open circle at \(x = -1\) (or passing through it) and ending with a closed circle at \(x = 1\).

Identify the function type

Since the graph is composed of multiple linear pieces defined on separate sub-intervals, it represents a piecewise-defined function where each piece is linear. This is specifically called a piecewise-linear function.

Match with the given options

Comparing the identified function type with the choices:

• "piecewise-linear" matches our identification.
• "pairwise-linear" is not a standard mathematical term for this type of function.

Answer:

The given graph is an example of <blank>piecewise-linear</blank> function.

• piecewise-linear (Correct answer)
• pairwise-linear