The Output of an Odd Function for Input of 1001

What is the output of an odd function for the input of 1001?

Given an input = 1001. What would be the output of an odd function?

Answer:

The output of the odd function f(x) = x^3 for the input of 1001 would be 1,003,003,001. An odd function is a function that satisfies the condition f(-x) = -f(x) for all values of x in its domain.

An odd function is a mathematical function that exhibits symmetry with respect to the origin. In other words, if the function is odd, it will maintain the same shape when reflected over the y-axis and the x-axis simultaneously.

To determine the output of an odd function given an input of 1001, we can follow these steps:

1. Identify the odd function

First, we need to know the specific odd function we're working with, as there are many odd functions. Let's assume the odd function is f(x) = x^3.

2. Evaluate the function at the given input

Next, we will evaluate the function at the input value, which is x = 1001. For the function f(x) = x^3, we will calculate:

f(1001) = (1001)^3

3. Simplify the expression

Now, we need to simplify the expression to find the output:

f(1001) = (1001)^3 = 1,003,003,001

So, the output of the odd function f(x) = x^3 for the input of 1001 would be 1,003,003,001. This demonstrates the application of evaluating odd functions for specific input values.