I WILL GET A ZERO SO PLEASE HELP! THANKS!!!
2 answers:
You might be interested in
Factorize the denominator:
If , we can cancel the factors of
, which makes
and
removable discontinuities that appear as holes in the plot of
.
We're then left with
which is undefined when , so this is the site of a vertical asymptote.
As gets arbitrarily large in magnitude, we find
since the degree of the denominator (3) is greater than the degree of the numerator (2). So is a horizontal asymptote.
Intercepts occur where (
-intercepts) and the value of
when
(
-intercept). There are no
-intercepts because
is never 0. On the other hand,
so there is one -intercept at (0, 1).
The domain of is the set of values that
can take on for which
exists. We've already shown that
can't be -2, 2, or -1, so the domain is the set
When you want to find zeros of rational expression you need to find at which points numerator is equal to zero. In this case, we have the product of three expressions.
A product is equal to zero whenever one of the factors is equal to zero.
That means that zeros of our functions are:
1)
2)
3)
The final answer is a. Function has zeros at (0, 1, -11).
A product is equal to zero whenever one of the factors is equal to zero.
That means that zeros of our functions are:
1)
2)
3)
The final answer is a. Function has zeros at (0, 1, -11).