Problem

Use the graph below to describe its end behavior as \(x\) increases and as \(x\) decreases.

Coordinate graph of the line y equals 2x plus 1.

Big Picture

What this problem is really about

End behavior is really two separate questions: what happens far to the right and what happens far to the left. We’ll follow the graph in each direction and translate that motion into input-output language. Keeping the two ends separate prevents a positive slope from being mistaken for the same output behavior on both sides.

Answer choices

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as x goes to positive or negative infinity, y increases without bound

as x increases, y decreases without bound; as x decreases, y increases without bound

as x increases, y increases without bound; as x decreases, y decreases without bound

as x increases, y increases without bound; as x decreases, y approaches 0

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Use the graph below to describe its end behavior as \(x\) increases and as \(x\) decreases.

What this problem is really about

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