Notes
\(y=a \cdot b^x\)
Growth if \(b \gt 1\)
Decay if \(0\lt b \lt 1\)
Practice Problems
\(\textbf{1)}\) \( y=\frac{1}{2} (3)^{x} \)
\(\textbf{2)}\) \( y=5(\frac{2}{3})^{x} \)
\(\textbf{3)}\) \( y=\frac{1}{2} (3)^{-x} \)
\(\textbf{4)}\) \( y=5(\frac{2}{3})^{-x} \)
\(\textbf{5)}\) \( y=3.2(1+.4)^{x} \)
\(\textbf{6)}\) \( y=5.2(1-.4)^{x} \)
\(\textbf{7)}\) \( y=4e^{2x} \)
\(\textbf{8)}\) \( y=\frac{1}{2}e^{.1x} \)
\(\textbf{9)}\) \( y=e^{-3x} \)
\(\textbf{10)}\) \( y=4(4)^{-4x} \)
\(\textbf{11)}\) \( y=\frac{5}{4} (.3)^{x} \)
\(\textbf{12)}\) \( y=1.2(1.2)^{x} \)
\(\textbf{13)}\) \( y=5 (2)^{-x} \)
\(\textbf{14)}\) \( y=6(\frac{1}{2})^{-x} \)
\(\textbf{15)}\) \( y=7(1+.3)^{x} \)
\(\textbf{16)}\) \( y=2(1-.2)^{x} \)
\(\textbf{17)}\) \( y=3e^{3x} \)
\(\textbf{18)}\) \( y=3e^{.3x} \)
\(\textbf{19)}\) \( y=3e^{-3x} \)
\(\textbf{20)}\) \( y=2(2)^{-2x} \)
See Related Pages\(\)
\(\bullet\text{ Exponential Functions}\)
\(\,\,\,\,\,\,\,\,y=a(b)^x\)
\(\bullet\text{ Compound Interest}\)
\(\,\,\,\,\,\,\,\,A=P\left(1+\frac{r}{n} \right)^{nt}\,\,\,\,\,\,\,\,A=P e^{rt}\)
\(\bullet\text{ Half Life Questions}\)
\(\,\,\,\,\,\,\,\,A_t=A_0e^{kt}\)
\(\bullet\text{ Graphing Exponential Functions}\)
\(\,\,\,\,\,\,\,\,f(x)=2^{x-1}-2\,\, \)
\(\bullet\text{ Inverse of Exponential Functions}\)
\(\,\,\,\,\,\,\,\,f^{-1}(x)=\log_5(x-1)\)
\(\bullet\text{ Andymath Homepage}\)
