All categories

3 years ago

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:

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.

You might be interested in

Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.

dimaraw [331]

Midpoint formula is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ .

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.

$\frac{y+0}{2}=2\\ y=4$

<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>

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

$\frac{y+4}{2}=3\\ y+4=6\\ y=2$

<u>The missing endpoint is (7,2).</u>

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

$\frac{y+9}{2}=5\\ y+9=10\\y=1$

<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.
Sort: 54, 58, 58, 60, 62.
Number in the middle: 58, so the median is 58.
Mode: 58, because it appears most.
Range: Subtracting bigger number from smaller number.
Finding it: 62-54 = 8
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.
Follow if you want.

6 0

3 years ago

Read 2 more answers

which unit would you use to measure the volume of a small cardboard box a cubic centimeters b grams c degrees d liters

MatroZZZ [7]

Degrees measures temperature,
liters measures liquids,
grams measures mass,
cubic centimeters measures volume.

8 0

3 years ago

Read 2 more answers

Maths watch homework help please

pychu [463]

Answer:15m on each side