, 0,2000 , 20 x - WebAssign
Find the formula for an exponential function that passes through the two points given.
x, y 0, 2000 and x, y 20
Solution
To write the exponential function that passes through the given points, we must find the values for a and b in the exponential function of the form f (x) a bx .
The point 0, 2000 has the form of 0, a , making the initial value a 2000 .
f (x) 2000bx
We now use the point 2, 20 to find the value of b .
f (x) 2000bx 20 2000 b2 1 b2
100 1 b 100 1 b 10 0.1 b
The exponential function that passes through the given points is f (x) 20000.1x .
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