Comparing Linear, Quadratic, Polynomial, Exponential Growth Practice Test

Order the following functions by eventual growth rate (fastest to slowest):

• $a(x)=0.001\cdot 3^x$ (exponential)
• $b(x)=x^6$ (polynomial)
• $c(x)=500x^2$ (quadratic)
• $d(x)=12x$ (linear)​

Two polynomial functions and one exponential function are shown:

• Quadratic: $g(x)=2x^2$
• Polynomial (degree 4): $h(x)=0.01x^4$
• Exponential: $p(x)=2^x$

Which statement about their long-term behavior is correct?