Priya is comparing two functions: f (x) = 10 ·x^2 and g(x) = 30x – 10 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) = 20 and g (2) = 50. She
concludes that as x continues to grow, the values of f will be less than the values of g.
Explain or show why Priya's conclusion is incorrect.