Does the function f(x) = ax+b have a discriminant? If so, what is it?

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The discussion centers on whether the linear function f(x) = ax + b has a discriminant. Participants note that the discriminant is typically associated with polynomials of degree n, suggesting that for n=1, the discriminant could be considered. Some argue that the discriminant for a first-degree polynomial is effectively 1. The conversation highlights a lack of clarity in existing resources regarding first-degree functions. Ultimately, the conclusion drawn is that while the concept of a discriminant is more relevant for higher-degree polynomials, it can be applied to linear functions in a simplified manner.
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f(x) = ax+b has discriminant? If yes, which is?
 
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Jhenrique said:
Nothing is said about the function of 1st degree...

So?...

They talk about polynomials of degree ##n##. So set ##n=1##.
 
Second my calculus, the discriminant is 1. Correct?
 

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