1 Answer

Joal · Answer 1 · 2023-09-23T13:14:50+0000

Answer:

Explanation:

Exponential equation:

$\boxed{y=a*b^(x)}$

Choose the point whose x-coordiante is 0, so that we can find the value of a. (0,2)

$2 = a*b^0\\\\2 = a*1 \ [\text{\bf any \ variable raised to 0 is 1}]$

$\sf \boxed{a = 2}$

Now, choose (1 , 1) and find the value of b

$1 = 2*b^(1)\\\\1 = 2*b\\\\(1)/(2)=b$

Exponential equation:

$\bf \boxed{y =2* \left((1)/(2)\right)^(x)}$

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