ANSWERS
(a) Table:
(b) For x ≥ 5, the table suggests that f(x
EXPLANATION
(a) First, we have to fill in this table. To do so, we have to substitute x with each value from the first column for each function,
[tex]f(3)=20\cdot3^2=20\cdot9=180[/tex][tex]g\mleft(3\mright)=4^3=64[/tex]
Repeat for all the other x-values,
(b) As we can see in the table, for x = 2, x = 3, and x = 4, f(x) is greater than g(x). But, for x = 5 and x = 6, f(x) is less than g(x).
Hence, for x ≥ 5, f(x) is never greater than g(x).
