Function Feature Analyser
Enter a function of x and an interval. The analyser samples densely, finds every zero by bisection, every local extremum by tracking the sign of the numerical derivative, detects vertical-asymptote candidates from large jumps, and reports the end behavior and the function's range on the interval.
Frequently asked questions
Why does it run without drawing a graph?
Some assignments only need the numeric summary — zeros and extrema as decimals. The feature analyser is the same engine the grapher uses, with the result rendered as text rather than a plot.
Can it detect vertical asymptotes exactly?
It flags candidates wherever the function jumps by an outlier amount between two samples — useful for functions like 1/(x − a) or tan(x). For a confirmed asymptote you should still inspect the algebra.
What is meant by 'monotonicity intervals'?
The intervals between consecutive extrema where the function is strictly increasing or strictly decreasing, reported with an ↑ or ↓ arrow.