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  1. In Plain English: A continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. In Plain English: A discrete function allows the x -values to be only certain points in the interval, usually only integers or whole numbers.

  2. 4.2 Discrete and Continuous Domains (continued) Name_____ Date _____ Work with a partner. • Write a function to represent each problem. • Graph each function. • Describe the domain and range of each function. Is the domain discrete or continuous? a. You are in charge of reserving hotel b.

  3. Here is another interesting and useful property of functions which are continuous on a closed interval [a;b]: the function must run through every y-value between f(a) and f(b). This makes sense since, a continuous function can be drawn without lifting the pen from the paper.

  4. 1. Describe the difference between a discrete domain and a continuous domain? 2. From the given domain and range of each function, determine if the domain is discrete or continuous. A. Cost of cheddar cheese. B. Cost of an adult concert ticket. Domain: {x| 0< x <4} Range: {y| 0< y < 8} Circle: Discrete or Continuous .

  5. A discrete domain is a set of input values that consists of only certain. p. 156. numbers in an interval. Example: Integers from 1 to 5. − 1 0. 1 2. 3 4. 5 6. A continuous domain is a set of input values that consists of all numbers in an interval.

  6. To understand continuity, it helps to see how a function can fail to be continuous. All of the important functions used in calculus and analysis are continuous except at isolated points. Such points are called points of discontinuity. There are several types. Let’s begin by first recalling the definition of continuity (cf. book, p. 75). (2 ...

  7. 11 gru 2017 · Each card had ONE of the following filled in: situation, variables, or sketch of graph. As a class, we filled in the missing information and classified each card as discrete or continuous. Before beginning our sorting activity, we did a quick note page summary of discrete vs. continuous.

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