Determine if the statement is equivalent to (mean the same thing as) the statement
"f is concave up."
Explain your answer (whether the statement is equivalent or not).
f ' is positive.
"f ' is positive" does not mean the same thing as "f is concave up." We can have a function that is concave up but decreasing (f ' negative):
We can also have a function that is increasing (f ' positive) but is not concave up: