How to Find an Exponential Function With Two Points – Leader ...
leadertutor.com › how-to-find-an-exponential\displaystyle \begin{array}{l}\text{An exponential function is given by:}\\\,\,\,\,\,\,y=f\left( x \right)=a\cdot {{b}^{x}}\\\\\text{If we know two points }P\left( {{{x}_{1}},{{y}_{1}}} \right)\text{ and }Q\left( {{{x}_{2}},{{y}_{2}}} \right)\text{ of the exponential function}\text{, we must fulfill that:}\\\,\,\,\,\,\,{{y}_{1}}=a\cdot {{b}^{{{{x}_{1}}}}}\text{ and }\,\,{{y}_{2}}=a\cdot {{b}^{{{{x}_{2}}}}}\\\\\text{In this particular case}\text{, we have }P\left( {0,3} \right)\text{ and }Q ...