Doplnenie hodnôt v tabuľke
Doplň hodnoty v tabuľke.
\( x \) | \( −\ 3 \) | \( −\ 2 \) | \( −\ 1 \) | \( −\frac{1}{2} \) | \( 0 \) | \( \frac{1}{2} \) | \( 1 \) | \( 2 \) | \( 3 \) |
\( f: y =3^{x} \) | |||||||||
\( g: y =(\frac{1}{3})^{x} \) | |||||||||
\( h: y =3^{−x} \) | |||||||||
\( i: y =(\frac{1}{3})^{−x} \) |
\( i: y = (\frac{5}{3})^{−x} \)
\( i: y = (\frac{5}{3})^{−(−3)} = (\frac{5}{3})^{3} = \frac{125}{27} \)
\( i: y = (\frac{5}{3})^{−(−2)} = (\frac{5}{3})^{2} = \frac{25}{9} \)
\( {\sqrt{3}}=\frac{\sqrt{3}}{3}i:y=(\frac{5}{3})^{-(-\frac{1}{2})}=(\frac{5}{3})^{\frac{1}{2}}=\sqrt{\frac{5}{3}}=\frac{1}{\sqrt3}=\frac{\sqrt3}{3} \)
\( i: y = (\frac{5}{3})^{0} = 1 \)
\( i: y = (\frac{5}{3})^{−\frac{1}{2}} = \sqrt{5} \)
\( i: y = (\frac{5}{3})^{−1} = 0.6 \)
Unchecked
\( i: y = (\frac{4}{3})^{−x} \)
\( i: y = (\frac{4}{3})^{−(−3)} = (\frac{4}{3})^{3} = \frac{64}{27} \)
\( i: y = (\frac{4}{3})^{−(−2)} = (\frac{4}{3})^{2} = \frac{16}{9} \)
\( {\sqrt{3}}=\frac{\sqrt{3}}{3}i:y=(\frac{4}{3})^{-(-\frac{1}{2})}=(\frac{4}{3})^{\frac{1}{2}}=\sqrt{\frac{4}{3}}=\frac{1}{\sqrt3}=\frac{\sqrt3}{3} \)
\( i: y = (\frac{4}{3})^{0} = 1 \)
\( i: y = (\frac{4}{3})^{−\frac{1}{2}} = \sqrt{4} \)
\( i: y = (\frac{4}{3})^{−1} = 0.75 \)
Unchecked