Asymptote: ${\displaystyle y=-2}$, also ${\displaystyle c=-2}$

y-Achsenabshnitt: ${\displaystyle E(0)=-1{,}6}$, also ${\displaystyle a=E(0)-c=0{,}4}$

Punkt: ${\displaystyle (4{,}6|2)}$, daher:

${\displaystyle 2=0{,}4e^{b\cdot 4{,}6}-2}$

${\displaystyle e^{4{,}6\ b}={\frac {4}{0{,}4}}(=10)}$

${\displaystyle b={\frac {\ln 10}{4{,}6}}\approx 0{,}5}$

also:

${\displaystyle E(x)=0{,}4\ e^{0{,}5\ x}-2}$