If x is squared, that will be biggest by the end because it gets bigger the quickest. x^2 + 4 is always 4 greater than x^2, no matter what the value of x is.
5x+3 is always 3 greater than 5x also.
Besides that, you can rank them based on their slopes (5x < 7x < 8x, etc.)
So, 5x 5x + 3 7x 8x + 3 x^2 x^2 + 4
You can also just say “eventually” means that they’re asking to find the values of each when x is really big. so just choose x=100, and plug that into each one.
So, to check that order: 5(100) = 500 5(100) + 3 = 503 7(100) = 700 8(100) + 3 = 803 (100)^2 = 10,000 (100)^2 + 4 = 10,004
Those are in ascending order, so that must be the right order!
