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Finding an Exponential Equation with Two Points and an Asymptote

Finding an Exponential Equation with Two Points and an Asymptote. Finding an Exponential Equation with Two Points and an Asymptote. Find an exponential function whose asymptote is y =0 and passes through the points (2,16 ) and (6,256). Substitute into either equation to find a.

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Finding an Exponential Equation with Two Points and an Asymptote

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

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

  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. Asymptote c=-4 Substitute into twice: Larger exponent first + 4 + 4 Substitute into either equation to find a + 4 + 4 Rewrite into y=abx Divide #s ÷ Subtract Exponents 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. Asymptote c=10 Substitute into twice: Substitute into either equation to find a Larger exponent first – 10 – 10 – 10 – 10 Rewrite into y=abx Divide #s ÷ Subtract Exponents Warning: This is not addressed a lot in the homework but will be assessed.

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