Question

To fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and ___

A. proportions
B. values
C. asymptotes
D. expressions

which fills the blank correctly ​

Answer 1

C. asymptotes

Explanation:

In the figure attached, a sign chart is shown. To fill it out you need to find the function's zeros and asymptotes. The zeros are those x values that makes the function equal to zero, in the example, those are the x values that make the denominator equal to zero (x = -1 and x = 5). In a rational function, the asymptotes are those x values that make the numerator equal to zero (x = -9 in the example)

Function in the example:

`((-2x-2)(2x-10))/(-9x-81)`