Interval Notation Calculator
Convert simple inequalities and interval unions into clear notation.
Find roots, simplify relationships, and solve equations.
Convert simple inequalities and interval unions into clear notation.
Find domain exclusions, holes, intercepts, and asymptotes for quadratic ratios.
Find real polynomial roots through degree 6, plus quadratic complex roots.
Find a quadratic vertex, roots, axis, focus, and directrix.
Solve three linear equations and identify inconsistent or dependent systems.
Expand f(g(x)) or g(f(x)) for polynomial inputs and evaluate a point.
Test whether a relation is a function and list its domain and range.
Solve ax² + bx + c = 0 and inspect its discriminant.
Calculate b² − 4ac and classify the real roots of a quadratic.
Find the slope between two coordinate points.
Find the point exactly halfway between two coordinates.
Find straight-line distance between two coordinate points.
Find y = mx + b from two distinct points.
Build a point-slope equation from a point and slope.
Estimate y at an x-value between or beyond two known points.
Find the nth term of an arithmetic sequence.
Find the sum of the first n terms of an arithmetic sequence.
Find the nth term of a geometric sequence.
Find the sum of the first n terms of a geometric sequence.
Solve two linear equations in x and y.
Find the constant k in y = kx and project another value.
Solve an equation of the form ax + b = c.
Find the vertex of y = ax² + bx + c.
Find the slope of a line written Ax + By = C.
Find the shortest distance from a point to Ax + By + C = 0.
Get radius and area from (x − h)² + (y − k)² = r².
Project a starting value using a constant percentage growth rate.
Project a starting value using a constant percentage decay rate.
Find the remaining quantity after a number of half-lives.
Estimate doubling time from a constant compound growth rate.
Evaluate ax³ + bx² + cx + d at a chosen x value.
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