The graph showing here is the graph of which of the following rational functions?
1 answer:
Answer: A
Step-by-step explanation:
The graph has a vertical asymptote at x = -2. In this situation, vertical asymptotes happen when the denominator equals zero, which leaves the function undefined. Therefore, find the answer choice whose denominator equals zero when x = -2.
A would be correct because when x = -2,
, which is undefined.
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Answer:
Step-by-step explanation:
Lets go ahead and take a step by step approach to solving your problem.
First we must start by factoring .
To do this, we must break the expression into groups! Although I will also provide a definition to help you understand! For we need to find u, v >
and
which we will group into
.
The values we have are... and
.
Now we need the factors of 6 which are 1, 2, 3 and 6. We also need the negative factors which you get simply by multiplying the positives by -1 or just reversing them.
Now we need to check for every two factors if u + v = 1.
Therefore .
Now we want to . Which is
.
Now we must factor x from .
Lets apply the exponent rule of which means
.
Therefore we now have xx - 2x. Lets factor out the common term of x to get x(x - 2).
Now factor 3 out of .
Rewrite 6 as 3 * 2. .
Now factor out the common term of 3 > .
> Factor out the common term of x - 2 >
.
Now lets factor .
Apply the previous exponent rule of >
>
.
Now rewrite 4 as 2 * 2 > .
Now factor out the common term of 2x to get 2x(x + 2).
Combine it all and we get .
Hope this helps!