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Magazine Chapter 2: Q60. (page 62)
A function whose graph consists of disconnected points is called a discrete function. A function whose graph you can draw without lifting your pencil is called a continuous function. Determine whether each function is discrete or continuous.
Short Answer
The given function is continuous function.
Step by step solution
– Definition of discrete and continuous function.
A function is called discrete if its graph consists of disconnected points.
A function is called continuous if its graph has a single line or curve.
– Given information.
The given graph is:
– Check whether the function is discrete or continuous.
The given graph represents a function. From the above graph it is clear that the graph has a single non disconnected line.
Using the definition of continuous function, it is clear that the given graph represents a continuous function.
Thus, the given function is a continuous function
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