The function fgraphed below is defined by a polynomial expression of degree 4. Use the graph to solve exercise. (a) If fis increasing on an interval, then the y-values of the points on the graph rise Jas the x-values increase. From the graph of f we see that f is increasing on the intervals (Enter your answer using interval notation.) (b) If fis decreasing on an interval, then the y-values of the points on the graph fall 9as the x-values increase. From the graph of f shown above, we see that f is decreasing on the intervals (Enter your answer using interval notation.)
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.
rise or fall are the options for both pull downs
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