Question

Arrange the functions in descending order, starting with the function that eventually has the greatest value and ending with the function that eventually has the least value.
4x+9
9^x+1
x^2+3
4x
9^x
x^2

Answer 1

I'll just assign a value of x and solve it so that I'll be able to arrange them in order from greatest to least.

I am assuming that x = 2.

4x + 9 ⇒ 4(2) + 9 = 8 + 9 = 17
9^x + 1 ⇒ 9² + 1= 81 + 1 = 82
x² + 3 ⇒ 2² + 3 = 4 + 3 = 7
4x ⇒ 4(2) = 8
9^x ⇒ 9² = 81
x² ⇒ 2² = 4

based on my assumption, the order from greatest value to least value is:
1) 9^x + 1
2) 9^x
3) 4x + 9
4) 4x
5) x² + 3
6) x²