Complete the sentences about the functions f(x)=6^x and g(x)=7x+30.

Question

For small values of x, the function with greater values is
. As the value of x increases, however, the other function eventually has greater values because it is

Answer 1

For small values of \( x \), the function with greater values is \( g(x) = 7x + 30 \). As the value of \( x \) increases, however, the other function eventually has greater values because it is an exponential function \( f(x) = 6^x \), which grows faster than the linear function \( g(x) = 7x + 30 \) as \( x \) approaches infinity.