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.