Which of the following increases the fastest? A) h(x)=100 B) j(x)=2^x+4 C) f(x)=-1/2x^2 D) g(x)=6^x

Question

please help

Answer 1

Let's look at the powers again:

(a) no variable, therefore it's flat

(b) 2^x

(c) -(½)x²

(d) 6^x

 

In two of these case, the variable IS the exponent, so those will grow incredibly fast. Therefore, we look at the connected coefficients. One is a 2, and the other is a 6. Since 6 is greater than 2, (d) is the fastest growing.