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kati45 [8]
3 years ago
6

Which statement describes the behavior of the function f(x) = 2x/1-x2?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
5 0

Answer:

Step-by-step explanation:

Please use parentheses around the denominator:

              2x

f(x) = -------------- or   f(x) = 2x / (1-x^2)

          1 - x^2

to eliminate any ambiguity.  The graph of this function passes thru the origin (0,0) and has vertical asymptotes at x = -1 and x = + 1.  The function is negative on (-1,0) and positive on (0,1).  

Additionally, there are two horizontal asymptotes.   As x grows large and negative, f(x) approaches zero from above.  As x grows large and positive, f(x) approaches zero from below.

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Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.
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<h3>19.</h3>

So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: \frac{x+2}{2}=5 From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2: x+2=10

Next, subtract both sides by 2 and your x-coordinate is x=8

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

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<u>Putting it together, the missing endpoint is (8,4).</u>

<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>

<h3>20.</h3>

\frac{x+5}{2}=6\\ x+5=12\\ x=7

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<h3>21.</h3>

\frac{x+3}{2}=-1\\ x+3=-2\\ x=-5

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<u>The missing endpoint is (-5,1).</u>

8 0
3 years ago
Look at the data set below:
Elenna [48]
Median: Sort from least to greatest and find the # in the middle.
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If you want to find the mean, then here:
Mean: Solving average (adding all #s together and dividing by how many numbers are there) <span>58 + 54 + 62 + 58 + 60 = 292.
</span>Divide by 5 = 58.4
Hope that helps you. Good luck with it.
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