🛡️ Place the Force Fields

Vertical asymptotes happen when the denominator equals zero. Tap the x-axis to place the two force fields for this function:

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🔍 Scan for the Glitch

If a factor cancels out top and bottom, it leaves a hole instead of an asymptote. Slide to scan for the missing point in:

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x = -10 Scanning: x = {{ scannerX.toFixed(1) }} x = 10

✈️ Set the Flight Ceiling

Horizontal asymptotes show where the graph levels off as $x \to \infty$. Drag the dashed line up or down to set the correct ceiling for:

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🏗️ Assemble the Graph

Drag all four features to their correct locations on the grid to reveal the function!

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Master Grapher!

You successfully analyzed vertical asymptotes, holes, horizontal asymptotes, and intercepts to build rational functions!