Question

Local linearization gives values too small for the function x^2 and too large for the function root(x). Explain why?

Answer 1

Showing it graphically really helps...

Answer 2

because \(x^2\) is concave up, whereas \(\sqrt{x}\) is concave down

Answer 3

as @allank said, a picture is worth \(10^3\) words

Answer 4

Thank you!

Answer 5

You're welcome :)