Priya is comparing two functions: f(x)=10⋅x2 and g(x)=3⋅2x to find out which one has greater output values as x gets very large.
She notices that f(1)=10 and f(2)=40. However, g(1)=6 and g(2)=12. She concludes that as x continues to grow, the values of f will be greater than the values of g.
Explain or show why Priya’s conclusion is incorrect.