Question

The the function's value will always be greater than or equal to the local linear approximation of a function f if, for all x in an interval containing the point of tangency,

Answer 1

f "(x) > 0 is my answer

Answer 2

looks good to me

Answer 3

thank you!!!

Answer 4

that is in fact one definition of "concave up"

Answer 5

another is that the secant lines always lie above the tangent lines