Question

The function is f of x equals X cubed x is 0 1 2 f of negative X

Answers

Answered by GPT-4o mini
To analyze the function \( f(x) = x^3 \) and its behavior at \( x = 0, 1, 2 \) as well as \( f(-x) \), we can start by calculating \( f(x) \) for the given values of \( x \):

1. **Calculate \( f(0) \)**:
\[
f(0) = 0^3 = 0
\]

2. **Calculate \( f(1) \)**:
\[
f(1) = 1^3 = 1
\]

3. **Calculate \( f(2) \)**:
\[
f(2) = 2^3 = 8
\]

Next, let's calculate \( f(-x) \):

4. **Finding \( f(-x) \)**:
Since \( f(x) = x^3 \), we find \( f(-x) \):
\[
f(-x) = (-x)^3 = -x^3
\]

To summarize:
- \( f(0) = 0 \)
- \( f(1) = 1 \)
- \( f(2) = 8 \)
- \( f(-x) = -x^3 \)

If there's anything specific you'd like to explore further regarding this function, please let me know!
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