Question

HELP HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value.
5x + 3
8x + 3
x^2 + 4
5x
7x
x2

Answer 1

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!