MHB What is the image of the function f: R->R, f(x) = (x-2)^4

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The image of the function f: R -> R, defined as f(x) = (x-2)^4, is confirmed to be [0, ∞). Participants agree on this conclusion, emphasizing the importance of using LaTeX for clarity in mathematical expressions. The function's output is non-negative for all real numbers x, as it represents a fourth power. Overall, the discussion reinforces the correct understanding of the function's image.
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What is the image of the function f: R -> R, f(x) = (x-2)^4

I think [0,∞)

Am I right?
 
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Yes, you are right. ;) Good job! Just try to use LaTeX when typing out your math. It would look like this: $f: \mathbb{R} \to \mathbb{R}, f(x) = (x-2)^4$ and the image is $[0, + \infty)$.
 

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