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