Porisma
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Graphing techniques

Check the graph and its symmetries · Diagrams

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Read a logarithm beyond the sampled screen

Explore ln x

Change the view to see what coarse sampling misses.

Viewing window
Positive input x1
ln(1) = 0

Domain: x > 0. The curve passes through (1, 0).

Calculator notes

y = ln x: a finite sampled screen is not the whole curve

6:ZStandard: coarse positive-input samples in a −10..10 window

Analytical shape: x > 0, y → −∞ as x → 0⁺; zero at x = 1.

Use zoom options to reveal features, then justify them analytically.

Source ZOOM menu (visible rows):

  • 2:Zoom In 3:Zoom Out 4:ZDecimal
  • 5:ZSquare 6:ZStandard 7:ZTrig
  • 8:ZInteger 9:ZoomStat 0:ZoomFit

Cartesian diagrams show behaviour and relationships between variables.

Use conventions such as dotted asymptotes to identify the important features.

Sampling illustration, not an emulation of a specific calculator display.

Coarse logarithm samples compared with its analytical positive branch, plus source zoom-menu entries. Windows independently chosen; original calculator excerpts retained in review evidence.
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