Steps to graph the function: Step1: Identify the variables. Step 2: Determine the domain. Step3: Determine the range. Step4: Determine the scale of the graph. Step5: Number and label each axis and title the graph. Step6: Determine the data points and plot on the graph. Step7: Determine x- and y-intercepts if exist. Step 8: Determine the degree of the function Step 9: Determine the end behavior Step10: Draw the graph. Graph f(x) = 3x3 – 5x2 – 27x + 45 in paper-pencil-ruler style.
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.
Steps to graph the function:
- Step1: Identify the variables.
- Step 2: Determine the domain.
- Step3: Determine the range.
- Step4: Determine the scale of the graph.
- Step5: Number and label each axis and title the graph.
- Step6: Determine the data points and plot on the graph.
- Step7: Determine x- and y-intercepts if exist.
- Step 8: Determine the degree of the function
- Step 9: Determine the end behavior
- Step10: Draw the graph.
Graph f(x) = 3x3 – 5x2 – 27x + 45 in paper-pencil-ruler style.
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