✰Answer:
f(x) = 3 * 5^x.
✰Step-by-step explanation:
To find an exponential function with the given values, we can use the general form of an exponential function, which is f(x) = ab^x, where a is the initial value and b is the base.
Given that f(0) = 3, we can substitute these values into the equation to get 3 = ab^0. Since any number raised to the power of 0 is equal to 1, this simplifies to 3 = a.
Next, we use the second given value, f(1) = 15, and substitute it into the equation to get 15 = ab^1. Since we know that a = 3 from the previous step, we can rewrite the equation as 15 = 3b.
To solve for b, we divide both sides of the equation by 3, which gives us b = 5.
Therefore, the exponential function that satisfies the given values is f(x) = 3 * 5^x.
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⠀⠀⠀⢠⡿⠉⠉⠉⠛⠶⠶⠖⠒⠒⣾⠋⠀⢀⣀⣙⣯⡁⠀⠀⠀⣿⠀⠀⠀⠀
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