Mid-Chapter Quiz
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To determine the consecutive integer values, make a table of values.
Between x=- 1 and x=0 and between x=1 and x=2
Even-degree functions will always have an even number of real zeros, or no real zeros at all. The degree of our function is 2, so it will have either 2 or no real zeros. Instead of using a graph, we can use the table to locate a zeros.
| x | f(x)=3x^2-3x-1 |
|---|---|
| -1 | 5 |
| 0 | - 1 |
| 1 | - 1 |
| 2 | 5 |
The changes in the sign of f(x) indicate that there are zeros between x=- 1 and x=0 and between x=1 and x=2.