Answer:
and as
Step-by-step explanation:
Given
-- Missing from the question
Required
The behavior of the function around its vertical asymptote at
Expand the numerator
Factorize
Factor out x + 1
We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)
We are only interested in the sign of the result
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As x approaches -2 implies that:
Say x = -3
We have a negative value (-12); This will be called negative infinity
This implies that as x approaches -2, p(x) approaches negative infinity
Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)
As x leaves -2 implies that:
Say x = -2.1
We have a negative value (-56.1); This will be called negative infinity
This implies that as x leaves -2, p(x) approaches negative infinity
So, the behavior is:
and as
For the equation,
y = 1/2(x+3)^2 -5
The vertice is (-3,-5). Therefore the axis of symmetry is X = -3.
Answer:
Step-by-step explanation: do you have any choices
Answer:
Step-by-step explanation:
how many baskets does john have?
If x to the 12th power is divided by x to the 9th power:
Since they share same bases, and are being divided, it would be the same as x^{12 - 9), or x^{3}
Now, simply find the cube root of 125, which is 5.
Therefore, the number (x) must be equal to 5.
<em>Hope this helps! :)</em>