Question

Sarah is trying to convince her friend Brianna that the exponential function f(x) = 2x will eventually grow larger than the polynomial function g(x) = x30. When Brianna plugs in 5 for x and sees that f(5) = 25 = 32, while g(5) = 530 = 9.3 x 1020, she is really convinced that f will never be larger than g. Which of these is the smallest value of x that Sarah can use to prove that f will grow larger than g? A) 10 B) 100 C) 1000 D) 10000

Answer 1

Answer:

1000

Step-by-step explanation:

Answer 2

C) 1000.

2^1000 = 1^301, whereas 1000^30 is 1^90