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 decreasing.
"f " is decreasing" does not mean the same thing as "f is concave down." If f " is decreasing but positive, then f will be concave up. The sign of f " determines the concavity of f, not whether f " is increasing or decreasing.