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Answer :
Final answer:
To find the value of f(6.5) in the exponential function f(x), you can use the given initial values and the growth/decay factor. Substitute x = 6.5 in the exponential formula to calculate f(6.5), rounded to the nearest hundredth.
Explanation:
To find the value of f(6.5) in the exponential function f(x), you can use the formula: f(x) = a * b^x, where a is the initial value and b is the growth/decay factor. Firstly, let's find the growth/decay factor using the given information. f(4) = 69, so 69 = a * b^4. Similarly, f(-4) = 1, so 1 = a * b^-4. Solving these two equations simultaneously, you can find the values of a and b. Once you have a and b, substitute x = 6.5 in the original exponential formula to find f(6.5), to the nearest hundredth.
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