Question

F(x) = 2x + 10 g(x) = 1(1.01)x

x y

10 1.00

12 1.01

14 1.02

16 1.03

Which statement BEST compares the growth of the two functions as x approaches [infinity]?

Answer 1

D) the value of the exponential function will eventually exceed the value of the linear function.

Explanation:

I ATTACHED AN IMAGE WITH THE CORRECT INFORMATION OF THE QUESTION.

To know which is the correct answer we can calculate some other values of f(x) and g(x) for higher values of x:

f(100)=210 g(100)=7.31

f(1000)=2010 g(1000)=20959.15

f(10000)=20010 g(10000)=1.63e^43

As we can observe, g(x) eventually will exceed to f(x). This is noticed when x = 1000, where g(1000)>f(1000).

Hence, the answer is:

D) the value of the exponential function will eventually exceed the value of the linear function.