Consider the function $y(x)=\sqrt{x+3}$. Which of the following statements is true?
Antwoord 1 correct
Correct
Antwoord 2 optie
The function is convex.
Antwoord 2 correct
Fout
Antwoord 3 optie
The function is neither convex nor concave.
Antwoord 3 correct
Fout
Antwoord 4 optie
That cannot be determined on the basis of the given information.
Antwoord 4 correct
Fout
Antwoord 1 optie
The function is concave.
Antwoord 1 feedback
Correct: From $y''(x)=-\frac{1}{4}(x+3)^{-\frac{3}{2}}$ it follows that $y''(x)<0$ for every $x>-3$. Hence, the function is concave.
Go on.
Go on.
Antwoord 2 feedback
Wrong: If $y''(x)<0$ for every $x>-3$, then the function is concave.
See the Second-order condition.
See the Second-order condition.
Antwoord 3 feedback
Antwoord 4 feedback