1. Finding an Exponential Equation with Two Points and an Asymptote

2. Find an exponential function whose asymptote is y=0 and passes through the points (2,16) and (6,256). ÷ Larger exponent first Subtract Exponents Substitute into y=ab x twice Divide #s Find the Root Substitute into either equation to find a

3. Finding an Exponential Equation with Two Points and an Asymptote Find an exponential function that passes through (-3,239) and (2,-3) and has a horizontal asymptote of y = -4. ÷ + 4 Substitute into twice: Asymptote c=-4 Larger exponent first Subtract Exponents Divide #s Substitute into either equation to find a Rewrite into y=ab x Find the Root

4. Finding an Exponential Equation with Two Points and an Asymptote Find an exponential function that passes through (3,12.5) and (4,11.25) and has a horizontal asymptote of y = 10. ÷ – 10 Substitute into twice: Warning: This is not addressed a lot in the homework but will be assessed. Asymptote c=10 Larger exponent first Subtract Exponents Divide #s Substitute into either equation to find a Rewrite into y=ab x