Without using derivative, find the maximum value and the minimum value, if any, of the function f defined by
`f(x)=x^3, x in [-1,1]`

Explanation

To find the maximum and minimum values of the function \( f(x) = x^3 \) over the interval \( x \in [-1, 1] \) without using derivatives, we can follow these steps:

### Step 1: Identify the endpoints of the interval
Since we are looking for the maximum and minimum values on the closed interval \( [-1, 1] \), we need to evaluate the function at the endpoints of this interval.

### Step 2: Evaluate the function at the endpoints
Calculate \( f(-1) \) and \( f(1) \):
- \( f(-1) = (-1)^3 = -1 \)
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