compare the functions f(x)=4x³ and g(x)=2^x by completing parts (a) and (b). (a) fill in the table below…

compare the functions f(x)=4x³ and g(x)=2^x by completing parts (a) and (b). (a) fill in the table below. note that the table is already filled in for x = 5. (the aleks calculator can be used to make computations easier.) x f(x)=4x³ g(x)=2^x 5 500 32 6 864 64 13 8788 8192 14 10976 16384 15 13500 32768 (b) for x≥14, the table suggests that f(x) is (choose one) greater than g(x). always sometimes never
Answer
Explanation:
Step1: Analizar valores en la tabla
Observamos los valores de $f(x)=4x^{3}$ y $g(x)=2^{x}$ para $x = 14$ y $x = 15$. Para $x = 14$, $f(14)=10976$ y $g(14)=16384$, y para $x = 15$, $f(15)=13500$ y $g(15)=32768$.
Step2: Concluir según los valores
Vemos que para $x\geq14$, $g(x)$ es siempre mayor que $f(x)$.
Answer:
never