Written Assignment 3 Sections 2.4, 2.5 Name: 1. Piecewise functions [2.4 Graphs of piecewise functions in MyMathLab are all multiple choice. On tests, your graphs will be almost entirely done by hand. So it is important to be able to draw accurate graphs, rather than just being able to recognize correct graphs. This difference is especially important for piecewise functions, which take some practice to be able to graph accurately One way, used in my online lecture notes, uses a table of values to find points for each piece, while another way to graph a piecewise function is to graph each piece lightly in pencil, and then erase the portion of the graph that goes outside of the domain associated with that piece. For example, start by graphing y #x-1 lightly in pencil. Then erase the parts in which the x-values fall outside of -8 sx<-1 Graph the piecewise function by the method of your choice x-1-8 x<-1 f(x)1Sx <2 2-x 2sxs7 Is the function continuous on its domain?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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