Which function increases at a faster rate on 0 to infinity, f (x) = x2 or g (x) = 2x? Explain your reasoning.

Question

Mathematics

Katelynn Francis

16 February, 10:48

Which function increases at a faster rate on 0 to infinity, f (x) = x2 or g (x) = 2x? Explain your reasoning.

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Answers (1)

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Valeria Rice · Answer 1

G (x) = 2x is a line

f (x) = x^2 is a parabola

The difference starts to occur when x = 3 because x = 0,1,2 yields the same results

When x = 3

g (3) = 6

f (3) = 9

When x=4

g (4) = 8

f (4) = 16

As we plug in more x values, f (x) = x^2 is bigger and increases faster that g (x) = 2x