Project ID:
7360000058
Accepted:
Type:
Layout:
Question:
Use the given graphs to determine the ranges of corresponding functions. Match every given function to its range. (Dashed lines represent asymptotes of functions.)
Questions Title:
Graphs:
Answers Title:
Ranges:
Question 1:
$f_1(x)=3\mathrm{e}^{-x^2}-1$
Question 1 Image:
Answer 1:
$(-1;2]$
Question 2:
$f_2(x)=\left\{\begin{array}{ll} -0.5(x+4)^2+4; & x\in(-\infty;-2] \\ \\ 0.5(x-4)^2-4; & x\in[-2;\infty)\end{array} \right.$
Question 2 Image:
Answer 2:
$\mathbb{R}$
Question 3:
$f_3(x)=\left\{\begin{array}{ll} -\frac8{x+2}+2; & x\in(-\infty;-2) \\ \\ \frac8{x-2}+2; & x\in(2;\infty)\end{array} \right.$
Question 3 Image:
Answer 3:
$(2;\infty)$
Question 4:
$f_4(x)=\left\{\begin{array}{ll} -\frac8{x}+2; & x\in(-\infty;0) \\ \\ -\frac8{x}-2; & x\in(0;\infty)\end{array} \right.$
Question 4 Image:
Answer 4:
$(-\infty;-2)\cup(2;\infty)$
Question 5:
$ f_5(x)=\left\{\begin{array}{ll} \log_2(x+2)+1; & x\in(-2;0) \\ \\ \log_2(-x+2)+1; & x\in[0;2)\end{array} \right.$
Question 5 Image:
Answer 5:
$(-\infty;2]$
Question 6:
$f_6(x)=2;\ x\in(0;\infty)$
Question 6 Image:
Answer 6:
$\{2\}$