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