5 min read
2026-02-12
A well-constructed graph is a powerful analysis tool. Follow these recommendations.
Too large a scale hides details; too small a scale distorts the overall shape. Start with a range of [-10, 10] and adjust as needed.
To solve the equation f(x) = g(x), plot both graphs on the same plane. The intersection points are the solutions.
Not all functions are defined for all x. For example, ln(x) exists only for x > 0, and tan(x) has discontinuities.
Even functions are symmetric about the Y-axis
Odd functions are symmetric about the origin
This helps verify the correctness of the plot
If the function is increasing, its derivative is positive. Points where the derivative equals zero are extrema or inflection points.
When studying transformations, plot the base function (e.g., y = x²) and its modification side by side. This makes it easier to see the effect of parameters.
Substitute x = 0, x = 1, x = -1 into the formula and make sure the graph passes through the resulting points.
See also: Equation Solver, Statistics, Matrix Calculator