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F(0)=-12; f(x)=f(x-1)=4. What is the value of f(3) based on the given recursive formula?

A) -12
B) 0
C) 4
D) 12

1 Answer

3 votes

Final answer:

The value of f(3) based on the given recursive formula is -12.

Step-by-step explanation:

To find the value of f(3) based on the given recursive formula, we start by using the given initial condition f(0)=-12. Then, we can use the equation f(x)=f(x-1)=4 to find the value of f(3).

Using the equation, we have:

f(3) = f(2) = 4

f(2) = f(1) = 4

f(1) = f(0) = -12

Therefore, the value of f(3) is -12.

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