Question

True or False?: To make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb.
The function has a vertical asymptote at every x-value where its denominator is zero, and the function is always negative between two asymptotes.

Answer 1

Answer:false

Step-by-step explanation:

Answer 2

The question is for any rational function. I give one example in picture below. There we can see that first part of the "rule" is true. we indeed have vertical asymptotes at every x value where denominator is zero in this case x = 3 and x = 1. but second part of the rule is not true. we can see that if we inverse x ( we have factor that looks like a - x we get positive function between asymptotes.

Answer is False