For the question attached, could “y = |x| + a” be a single-variable polynomial that exists in all four quadrants?
As an example, I attached a picture of y = |x| - 2
Firstly, the expression is not a polynomial. A polynomial cannot have operators like modulo.
\sum_{k}{a_k \cdot x^k}
Secondly, you are correct that | x | + a; a < 0 will go through 4 quadrants but unfortunately, it’s not a polynomial.
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ahhh. That’s why. Ok thank you Ellipse!