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 (now all consolidated into one Graphing Calculator) 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 the 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.
Note: unless the variable y is used in an equation, the graphing calculator regards it (without replacing it) as x or θ depending on the coordinate system selected. In parametric expressions y is replaced with t internally.
To graph a function, for example, f(x) = 3x2 + 2x + 1 type in 3x^2+2x+1
Or, when graphing using the polar coordinate system, if the expression is represented by r(θ) = 3θ2 + 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.
To graph an equation, for example,
x^3-xy+2y^2 = 5x+2y+5 just type in the equation (using the "=" sign).
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) -π < t < π type in [sin(t), cos(t)] dom=(-pi, pi)Using [ ] to enclose x(t), y(t) is optional.
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 -π < t < π or equivalently, by the equations r(t) = sin(t) θ(t) = cos(t) -π < t < π type in [sin(t), cos(t)] dom=(-pi, pi)Using [ ] to enclose r(t), θ(t) is optional.