Coordinate Geometry Finding minimum value

GRE Quant Problem Solving
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Could I get an answer as to why is the minimum value negative infinity? This is a finding minimum value prep swift quiz question.

2

Try sketching the graph (on Desmos).

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I did, however I’m still unable to understand the why is the minimum value negative infinity.

4

Try zooming out of the graph - what do you see with respect to the minimum value?

5

Okay yes, gotcha!!