What is the range of this function?

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leandrogarin37p2g5ds

31.10.2022

Mathematics

First list all the positive and negative factors of the constant term in the expression: ±(1,2,3,4,6,12) these will be the values for "p"

Second list all the positive and negative factors of the leading coefficient:
±(1,3) these will be the values for "q"

Now list all the possible values of $\frac{p}{q}$ these will be the possible rational zeros of the polynomial function:
±( $\frac{1}{1} , \frac{1}{3} , \frac{2}{1} , \frac{2}{3} , \frac{3}{1} , \frac{3}{3}, \frac{4}{1} , \frac{4}{3} , \frac{6}{1} , \frac{6}{3} , \frac{12}{1} , \frac{12}{3}$ )

these can be reduced to the following list:
±(1, $\frac{1}{3}$ , 2, $\frac{2}{3}$ , 3, 4, $\frac{4}{3}$ , 6, 12

This list represents the possible rational zeros of the function. You can then use synthetic division to narrow down the actual roots of the function.

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