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

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SUMMARY

The image of the function f: R -> R, defined as f(x) = (x-2)^4, is confirmed to be [0, +∞). This conclusion is supported by the fact that the function is a polynomial with a minimum value of 0 at x = 2, and it approaches infinity as x moves away from 2 in either direction. Proper mathematical notation using LaTeX is encouraged for clarity in communication.

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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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