What is the range of the function y = x^2?

Arturo Callahan

Arturo Callahan

Answered question

2023-03-21

What is the range of the function y = x 2 ?

Answer & Explanation

abadunayj6f

abadunayj6f

Beginner2023-03-22Added 5 answers

Normally, to get the concavity for the comparison sign, you would complete the square and look at the leading coefficient, a. But this function is already in standard or vertex form:
y = ( x - 0 ) 2 + 0
Since the leading coefficient is positive and the vertex is at (0,0), the parabola is concave upward and the vertex has the lowest value. The bottom of the function's range corresponds to the minimal value.
Because it is a point, the vertex is not the minimum value; rather, it only holds the minimal value, which is why semantics are crucial.

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