Calculus
Elementary functions lab
Track points on graphs, check composition domains and construct an inverse only when the return is unique.
Graphs and point correspondence
Transformed graphBase graph
Move the point using the slider or Play (one step per second). Equal axis scales preserve reflection across y=x.
Point correspondence
Finite sampled view: off-scale curves are clipped, not removed from the function. Domains and images come from formulas for guided cases. Rounding, especially near tangent poles, is not a mathematical proof. Angles in radians; enter decimal numbers, not symbolic expressions.