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discrete.ppt
Discrete Continuous Domains Adults $4.00 Children $2.00 Domain (x-values): 0, 1, 2, 3, 4 Range (y-values): 8, 6, 4, 2, 0 The domain is discrete because it has only the numbers 0, 1, 2, 3, and 4. Discrete graphs are made up of distinct, or unconnected, points. Since there is no such thing as half a ticket, or one-forth of a ticket the domain does not include those points between the points graphed. Functions shows a recipes mix of adult children show tickets. Domain (x-values): x ≥ 0 and x ≤ 0 (all numbers from 0 to 4) Range (y-values): y ≥ 0 and y ≤ 8 (all numbers from 0 to 8) The domain is continuous because it includes all numbers from 0 to 4 on the number line. Continuous graphs are made up connected lines or curves. Cheese can be divided into fractions or decimals, so it is shown to be continuous by using a line to include all of those points. Cheddar: $2/lb Swiss: $4/lb Functions shows a recipes mix of cheddar Swiss cheese. Write a linear function to represent each problem. Graph the function. Describe the domain and range of each function. Is the domain discrete or continuous? You are in charge of reserving hotel rooms for a baseball team. Each room costs $69, plus $6 tax, per night. You need each room for two night. You need 10 to 16 rooms. Write a function for the total hotel costs. Discrete Write a linear function to represent each problem. Graph the function. Describe the domain and range of each function. Is the domain discrete or continuous? The airline you are using for the baseball trip needs an estimate of the total weight of the team’s luggage. You determine that there will be 36 pieces of luggage and each piece will weigh from 25 to 45 pounds. Write a function for the total weight of the luggage. Continuous Key Idea A discrete domain is a set of input values that consists of only certain numbers in an interval. Like integers 1 to 4. A continuous domain is a set of input values that consists of all numbers in an interval. Like a
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