overall accuracy: 83.3% record: 17 score: 16 if f is positive then f is increasing cannot be determined…
overall accuracy: 83.3% record: 17 score: 16 if f is positive then f is increasing cannot be determined concave up positive high score board: overall refresh you must have at least 100 to be on the board. # name record
Answer
Explanation:
Step1: Recall second - derivative property
The sign of the second - derivative $f''(x)$ determines the concavity of the function $f(x)$.
Step2: Analyze options
If $f'(x)>0$, then $f(x)$ is increasing. The sign of $f''(x)$ does not directly tell us if $f(x)$ is increasing. Also, the sign of $f''(x)$ does not tell us if $f(x)$ is positive. When $f''(x)>0$ for all $x$ in an interval, the function $f(x)$ is concave up on that interval.
Answer:
concave up