Question:
Consider the function $f(x)=\mathrm{e}^{-x^2}$. Select all the true statements about $f$ from those provided below.
Project ID:
7400120175
Answer 1:
$f$ is continuous on its whole domain.
Answer 1 Correct:
1
Answer 2:
The graph of $f$ intersects the $x$-axis.
Answer 2 Correct:
0
Answer 3:
The graph of $f$ intersects the $y$-axis.
Answer 3 Correct:
1
Answer 4:
$f$ is increasing on the interval $\left( 0,\infty\right)$.
Answer 4 Correct:
0
Answer 5:
$f$ has a local maximum.
Answer 5 Correct:
1
Answer 6:
$f$ is monotonic on its whole domain.
Answer 6 Correct:
0
Answer 7:
$f$ is an even function.
Answer 7 Correct:
1
Answer 8:
$f$ is an odd function.
Answer 8 Correct:
1