Question

Determine whether each function is discrete or continuous.

   Determine whether each function is discrete or continuous.

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 2, Problem 20

Instant Answer

Solved by Expert Zach Steedman

03/05/2020

Step 1

A function is said to be discrete if it is defined only for certain points. On the other hand, a function is said to be continuous if it is defined for an entire interval. Show more…

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Determine whether each function is discrete or continuous.

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Key Concepts

Discrete Function

A discrete function is one that is defined only for specific, isolated values within its domain. This type of function typically outputs values for countable inputs, often resulting from a set that is finite or countably infinite. The graph of a discrete function is composed of isolated points rather than a continuous curve, reflecting gaps between neighboring input values.

Continuous Function

A continuous function is one that is defined over an interval or an unbroken set of input values, where small changes in the input result in small changes in the output. The function does not have any gaps, jumps, or interruptions, which means that its graph can be drawn without lifting a pencil off the paper. This property is crucial in many areas of mathematics, particularly in analysis and calculus.

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