Tricia recorded the number of pets owned by each of her classmates. These data points represent the results of her survey. 0, 3,
2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3 Create a dot plot that represents the data.
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In case you're not already aware, the expression is called the "difference quotient" and represents the average rate of change of a function
over an interval
.
For the function , by substituting
we get
Then the difference quotient is
where the last equality holds as long as .