PLEASE ANSWER ASAP!!Find a rational function that might have the given graph. (More than one answer might be possible.)

Mathematics

1 answer:

navik [9.2K]2 years ago

5 0

Answer:

The rational function that might have the given graph is $y = - \frac{x}{(x+1)\cdot (x-1) }$ .

Step-by-step explanation:

This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at $x = -1$ and $x = 1$ . The lead coefficient of the numerator must be 1, since horizontal asymptote must be $y = 0$ and intercept must be $0$ , since $y(0) = 0$ .

Then, we conclude that a rational function that might have the graph is:

$y = - \frac{x}{(x+1)\cdot (x-1) }$ (1)

We present the proof that given function is appropriate.

You might be interested in

The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = x + 60 for a member and y

morpeh [17]

We have the yearly cost in dollars y at a video game arcade based on total game tokens purchased $x$ . So we know that:

 $y=x+60:\ equation \ for \ a \ member$ 

 $y=x:\ equation \ for \ a \ nonmember$ 

Then we can study this problem by using the graph in the figure below. We know that if there's no any purchase, the yearly cost for a member will be $60 and for a nonmember there will not be any cost. From this, we can affirm that the cost of membership is equal to $60.

On the other hand, both members and nonmembers will pay the same price on the total game tokens purchased, this is true because of the same slope that members and nonmembers have in the equations.