Totaalbeeld

Antwoorden bij de opgaven

1. 1. ${\displaystyle \left(\mathrm{0,0}\right)}$ en ${\displaystyle (-\mathrm{20,0})}$
   2. ${\displaystyle (-\mathrm{10,5000})}$ en ${\displaystyle \left(\mathrm{0,0}\right)}$
2. 1. ${\displaystyle (-\mathrm{20,0})}$, ${\displaystyle \left(\mathrm{0,0}\right)}$, ${\displaystyle \left(\mathrm{20,0}\right)}$; D_f = ${\displaystyle ℝ}$ en B_f = ${\displaystyle [-40000,\to \rangle }$
   2. ${\displaystyle (-\mathrm{1580,0})}$; D_f = ${\displaystyle \langle \leftarrow \mathrm{,20}]}$ en B_f = ${\displaystyle [-40,\to \rangle }$
3. 1. ${\displaystyle x=0}$ en ${\displaystyle y=4}$
   2. D = ${\displaystyle \langle \leftarrow \mathrm{,0}\rangle \cup \langle 0,\to \rangle }$ en B = ${\displaystyle \langle \leftarrow \mathrm{,4}\rangle }$
4. 1. ${\displaystyle y=\sqrt{x+5}}$
   2. ${\displaystyle y=2\sqrt{x+3}-6}$
   3. ${\displaystyle y=8-4\sqrt{x+4}}$
   4. ${\displaystyle y=2-\sqrt{4-x}}$
5. 1. eerst 10 verschuiven in de ${\displaystyle x}$-richting, dan vermenigvuldigen met 0,25 in de ${\displaystyle y}$-richting, dan ${\displaystyle -16}$ verschuiven in de ${\displaystyle y}$-richting
   2. ${\displaystyle \left(\mathrm{6,0}\right)}$ en ${\displaystyle \left(\mathrm{14,0}\right)}$, top ${\displaystyle (10,-16)}$
6. 1. ${\displaystyle y={(x-2)}^3}$
   2. ${\displaystyle x=-1\vee x=3}$
   3. ${\displaystyle 2}$
7. Experimenteer maar eens met allerlei soorten smiley's!
8. 1. ${\displaystyle Z\left(0\right)=200}$
   2. ${\displaystyle t=10}$
   3. 22,4 minuten, gebruik je GR
9. 1. ${\displaystyle I=x(12-2x)(20-2x)}$
   2. D = ${\displaystyle \left[\mathrm{0,6}\right]}$ en B = ${\displaystyle [0;\mathrm{262,68}]}$
   3. 2,43 cm
10. 1. ${\displaystyle T(\mathrm{0,5};0)}$ en ${\displaystyle S\left(\mathrm{0,1}\right)}$
    2. D = ${\displaystyle \langle \leftarrow ;\mathrm{0,5}]}$ en B = ${\displaystyle [0,\to \rangle }$
    3. ${\displaystyle B(-1+\sqrt{2},-1+\sqrt{2})}$
    4. Onjuist, maximum van opp${\displaystyle \left(x\right)=\sqrt{1-2x}}$ zit niet bij ${\displaystyle x=-1+\sqrt{2}}$
11. 1. ${\displaystyle \left[\mathrm{0,17}\right]}$
    3. ${\displaystyle c=-7\vee c=10}$