CPhill

The even factors of 72 are

2, 4, 6, 8, 12, 18, 24, 36, 72

Since the highest power polynomial in the numerator = the highest power polynomial in the denominator, we have a  "same/same" situation. And the end behavior  - in both directions from the y axis - is determined by the ratio of the coefficients on these "greatest power" variables = 1/-2  = -1/2.

3,000,000 = 3 x 10⁶

1/2x-7=11-1/2x       add 1/2x, 7  to both sides

x = 18

f(x) = x²    looks likely

Thanks for that, Melody......

Notice that.....

8 x 10⁶⁷ < 10 x 10⁶⁷ < (10 x 10⁶⁹ =  10⁷⁰  )

If the length of each of the two congruent sides is 5 inches, then 10 inches of the perimeter is taken up by these two sides. And since the perimeter is no more that 12 inches, the remaining side must be greater than 0 but less than or equal to 2 inches.

Note that

4 = 2^2  and 8 = 2^3

So

(2^2)^(3/2) = 2^3

(4)^(3/2) = 2^3

4^(3/2) = 8

Let me add someting here.....it IS possible for a graph to cross its horizontal asymptote but it is NOT POSSIBLE for it to cross a vertical asymptote.