Project ID:
7360000046
Accepted:
Typ:
Layout:
Question:
S využitím následujících grafů přiřaďte k daným funkcím jejich definiční obory.
Questions Title:
Grafy:
Answers Title:
Definiční obory:
Question 1:
$f(x)=3\mathrm{e}^{-x^2}-1$
Question 1 Image:
Answer 1:
$\mathbb{R}$
Question 2:
$f(x)=\left\{\begin{array}{ll}-0{,}5(x+4)^2+4\text{, } & x\leq -2 \\ & \\ 0{,}5(x-4)^2-4\text{, } & x\geq 2\end{array}\right.$
Question 2 Image:
Answer 2:
$(-\infty;-2\rangle\cup\langle2;\infty)$
Question 3:
$f(x)=\left\{\begin{array}{ll}-\frac8{x+2}+2\text{, } & x < -2 \\ & \\ \frac8{x-2}+2\text{, } & x > 2 \end{array}\right.$
Question 3 Image:
Answer 3:
$(-\infty;-2)\cup(2;\infty)$
Question 4:
$f(x)=\left\{\begin{array}{ll} -\frac8x+2\text{, } & x < 0 \\ & \\ -\frac8{x}-2\text{, } & x >0\end{array}\right.$
Question 4 Image:
Answer 4:
$\mathbb{R}\setminus\{0\}$
Question 5:
$f(x)=\left\{\begin{array}{ll} \log_2(x+2)+1\text{, } & -2 < x < 0 \\ & \\ \log_2(-x+2)+1\text{, } & 0 \leq x < 2\end{array}\right.$
Question 5 Image:
Answer 5:
$(-2;2)$
Question 6:
$f(x)=2\text{, }\ x > 0$
Question 6 Image:
Answer 6:
$(0;\infty)$