Question:
Consider the function $f(x)=\mathrm{e}^{-x^2}$. Select all the true statements about $f$ from those provided below.
Project ID:
7400220175
Answer 1:
$f$ has two inflection points.
Answer 1 Correct:
1
Answer 2:
$f$ has no inflection points.
Answer 2 Correct:
0
Answer 3:
$$\lim_{x\rightarrow 0} f(x)=1$$
Answer 3 Correct:
1
Answer 4:
$f$ has the asymptote $x=0$.
Answer 4 Correct:
0
Answer 5:
$f$ is convex on $(-\infty,0 ]$.
Answer 5 Correct:
0
Answer 6:
$f$ is convex on its whole domain.
Answer 6 Correct:
0
Answer 7:
$$\lim_{x \rightarrow \infty} f(x)=0$$
Answer 7 Correct:
1
Answer 8:
$f$ has the asymptote $y=0$.
Answer 8 Correct:
1