For the function, find all points of inflection or determine that no such points exist.
f (x) = 5x + 2
The derivative calculations for this one are super-quick (f '(x) = 5 and f "(x) = 0), but you don't even need to do that. Look at the graph:
A line has no concavity anywhere. Therefore it never changes concavity, so it can't have any inflection points. The end!