Question

Compare the functions f(x) = 20x² and g(x) = 4* by completing parts (a) and (b).(a) Fill in the table below. Note that the table is already filled in for x = 2.(The ALEKS calculator can be used to make computations easier.)f(x)=20x²g(x) = 4*(b) For x ≥ 5, the table suggests that f(x) is (Choose one) ✓ greater than g(x).I need help with this math problem.

Answer 1

ANSWERS

(a) Table:

(b) For x ≥ 5, the table suggests that f(x

Step-by-step 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,

`f(3)=20\cdot3^2=20\cdot9=180`
`g\mleft(3\mright)=4^3=64`

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).