Question

Can anything be said about the graph of a function that has a 2nd derivative that is always equal to zero. Please give reason(s) for your answer.

Answer 1

If the second derivative is always 0, then the first derivative must always be a constant. If the first derivative is a constant then the function must be a line (the slope of the line never changes).

Answer 2

Does that make sense?

Answer 3

yes

Answer 4

thx

Answer 5

the function is "linear" as polpak just said.

Answer 6

the function would be a horizontal line right?

Answer 7

y = 4

y'=0

Answer 8

not necessarily

Answer 9

are we talking about the value for y'? or y' itself?

Answer 10

y'' = 0, Therefore y' = C, therefore y = Cx

Answer 11

ahhh.... y'' these old eyes cant see that much anynore :)