Diagnos
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Function lab

See what the function actually looks like

Pick a function, move the parameters and watch what happens to the curve. Understanding a fraction or an equation gets much easier once you can see it change.

Trigonometric

Algebraic

y = tan(x)

−2π−3π/2−π−π/2π/2π3π/22π-4-3-2-11234

Hover over the graph to read its values.

The tangent shoots off to infinity every π, which is why it appears cut into branches.

The dashed orange lines are asymptotes: the function does not exist there.

Parameters

Move each control and watch what changes. It is the fastest way to understand what every number does.

1

Stretches or squashes the curve vertically. A negative value flips it.

1

Compresses or stretches the curve horizontally. It changes the period.

0

Moves the curve left or right.

0

Moves the whole curve up or down.