Question

F(x)=-4x2^x-1 which of the following is the recursive form of the function ?

A) f(0) = -4
B) f(0) = -4
C) f(n) = -4f(n-1)^(2^(n-1)-1)
D) f(n) = -4n^(2^n-1)

Answer 1

The recursive form of the function f(x)=-4x^2x-1 is f(n) = -4f(n-1)^2^(n-1)-1.

Step-by-step explanation:

The recursive form of the function f(x)=-4x2x-1 is option C) f(n) = -4f(n-1)2(n-1)-1-1.

A recursive function is defined in terms of previous values of the function itself. In this case, the function f(n) is defined in terms of f(n-1), which means that each value of f(n) depends on the value of f(n-1) before it. The recursive form helps in solving problems and finding patterns.

For example, if we want to find the value of f(5), we can use the recursive form:

f(5) = -4f(4)2(4)-1)-1

And so on, until we reach the base case f(0) = -4.