Mathematics, 06.04.2020 00:49 brainlazslxmfsjakzfn
X= -3, -2, -1, 0, 1 y= 1024, 256, 64, 16, 4 find either an exponential or linear function
Answers: 1
![\text{Therefore it's an exponential function}\ f(x)=ab^x\\\\\text{For}\ (0,\ 16)\ \text{we have}\\\\f(0)=16\to ab^0=16\to a=16\\\\\text{For}\ (-3,\ 1024)\ \text{we have}\\\\f(-3)=1024\to 16b^{-3}=1024\qquad\text{divide both sides by 16}\\\\b^{-3}=64\\\\\left(\dfrac{1}{b}\right)^3=64\to\dfrac{1}{b}=\sqrt[3]{64}\\\\\dfrac{1}{b}=4\to b=\dfrac{1}{4}\\\\\boxed{f(x)=16\left(\dfrac{1}{4}\right)^x}](/tpl/images/0583/6827/484fc.png)
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X= -3, -2, -1, 0, 1 y= 1024, 256, 64, 16, 4 find either an exponential or linear function...
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