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03-05-2018
Mathematics

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Use 2 points to write an equation for each function. Exponential functions.

Use 2 points to write an equation for each function Exponential functions class=

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04-05-2018

[tex]y=ma^x\\\\(0;\ 10)\to m\cdot a^0=10\to m=10\\\\y=10a^x\\\\(1;\ 20)\to 10a^1=20\ \ \ |:10\\a=2\\\\\boxed{y=20\cdot2^x}\\\\check:\\(-2;\ 2.5)\to2.5=10\cdot2^{-2}\\\\2.5=10\cdot\dfrac{1}{2^2}\\\\2.5=10\cdot\dfrac{1}{4}\\\\2.2=2.2\ correct\ :)\\\\(2;\ 40)\to40=10\cdot2^2\\\\40=10\cdot4\\\\40=40[/tex]

Answer:[tex]\boxed{y=10\cdot2^x}[/tex]

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