Exponential Functions Given 2 Points

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Notes

Notes for Exponential Functions

Problems & Videos

Find the exponential function through the following points.

\(\textbf{1)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0, 5)\) and \((2, 20) \)
Link to Youtube Video Solving Question Number 1


\(\textbf{2)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,-60)\) and \((2,-15) \)
Link to Youtube Video Solving Question Number 2


\(\textbf{3)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,2)\) and \((3,54) \)


\(\textbf{4)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,9)\) and \((2,81) \)


\(\textbf{5)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,16)\) and \((4,1) \)


\(\textbf{6)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,-8)\) and \((3,-1) \)


\(\textbf{7)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,81)\) and \((4,16) \)


\(\textbf{8)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,8)\) and \((3,27) \)


\(\textbf{9)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,24)\) and \((3,81) \)


\(\textbf{10)}\) Find the exponential function \(f(x)=a(b)^x\) through \( (0,18)\) and \((2,8) \)



See Related Pages\(\)

\(\bullet\text{ Compound Interest}\)
\(\,\,\,\,\,\,\,\,A=P\left(1+\frac{r}{n} \right)^{nt}\,\,\,\,\,\,\,\,A=P e^{rt}\)
\(\bullet\text{ Half Life Questions}\)
\(\,\,\,\,\,\,\,\,A_t=A_0e^{kt}\)
\(\bullet\text{ Graphing Exponential Functions}\)
\(\,\,\,\,\,\,\,\,f(x)=2^{x-1}-2\,\, \)Thumbnail for Graphing Exponential Functions
\(\bullet\text{ Inverse of Exponential Functions}\)
\(\,\,\,\,\,\,\,\,f^{-1}(x)=\log_5(x-1)\)


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