Question

Calculus question...

Sketch the graph of a function that does not have an inflection point at a point where f''(x) = 0

Answer 1

i was thinking, would f(x) = x^4 work? I mean it's second derivative would be a 12x^2 and that doesn't have an inflection point since it's a parabola.

Answer 2

Yes, that works. Also a function where f''(x) = 0 everywhere, such as f(x) = x

Answer 3

\[y=x^2\] would do

Answer 4

thanks!

Answer 5

oh sorry. asked and answered. site is really really slow

Answer 6

f(x) = x^2 is not an example as f''(x) = 2 everywhere.

Answer 7

oh i get it! this makes sense now

Answer 8

good point. sorry.
\[f(x)=x\]
\[f(x)=x^4\] etc