Syntax

The Graphing Calculator graphs functions and parametric curves on an interval (domain), dom=(a, b). You do not have to type the domain; the graphing calculator and other graphers append a suitable interval to expressions automatically. You can then change the end-points as desired.

If you do not specify an interval, the graphing calculator and other graphers append dom = (-∞, ∞) or dom = (0, 2π) to function expressions depending on whether graphing using the Cartesian or polar coordinate system, respectively. For parametric expressions the calculators append dom = (0, 2π) in both Cartesian and polar graphing. You can change the endpoints as desired.

In polar or parametric cases, the specified intervals must be bounded; otherwise, 's will be replaced by some constant values.

Note: In general, this Graphing Calculator and other Graphers allow you to use (constant) numerical expressions such as π, 1+√(2) or other numeric expressions wherever you can use a literal number for, e.g., domain end-points, axis labels, angles, etc.

The Graphing Calculator recognizes x, t and θ as variables and is programmed to work intelligently. It automatically detects the type of expression as you type. If your expression contains a comma, changes occur in the relevant input panel indicating a parametric expression is being entered. Otherwise — deleting the comma, for instance — the input panel switches back to the function entering mode. The Graphing Calculator then, appropriately, replaces Note: As the variable t might be replaced by x or θ when typing a function, the graphing calculator will automatically correct, for example, xan or θan to tan (tangent) and cox coθ to cot (cotangent) as you finish typing the predefined function tan or cot. Similar thing may happen to the x in exp( — including the left parenthesis.

Functions

To graph a function, for example, f(x) = 3x2 + 2x + 1 type in 3x^2+2x+1

Online Function Grapher


Or, when graphing using the polar coordinate system, if the expression is represented by r(θ) = 2 + 2θ + 1, type in 3θ^2+2θ+1

To type θ type ..t (two dots followed by t). You can also use x for θ. All x's are internally replaced by θ when graphing functions in polar coordinate system.

Online Polar Function Grapher

Parametric Curves

To graph a parametric curve represented, for example, by a function p(t) = [x(t), y(t)] = [sin(t), cos(t)]   for -π < t < π or equivalently, by the equations x(t) = sin(t) y(t) = cos(t) < t < π type in [sin(t), cos(t)]   dom=(-pi, pi)

Using [ ] to enclose x(t), y(t) is optional.

Online Parametric Grapher


Or, when graphing using the polar coordinate system, if the expression is represented by p(t) = [r(t), θ(t)] = [sin(t), cos(t)]   for < t < π or equivalently, by the equations r(t) = sin(t) θ(t) = cos(t) < t < π type in [sin(t), cos(t)]   dom=(-pi, pi)

Using [ ] to enclose r(t), θ(t) is optional.

Online Polar Parametric Grapher