Kalkaaliyihii Sawir-qaadista
Shaqooyinka Plot on graph interaction — free online graphing calculator, ma diiwaangelinta.
y = f(x), tusaale ahaan x^2-3, sin(x), 2*x+1
Ku saabsan Kalkaaliyahan
A graphing calculator draws the graph of one or more functions of x. Enter equations like y = x^2 - 3 or sin(x), and the calculator plots them on an interactive grid you can zoom and pan. Add several functions at once to compare them, each in its own colour.
It evaluates each function at many x-values across the visible window and joins the points into a smooth curve, redrawing as you scroll to zoom or drag to pan so the axes and grid always rescale to what you are looking at. Any expression the scientific calculator understands works here — polynomials, trigonometry, logarithms, exponentials, roots and combinations — and each function you add is drawn in a distinct colour so several curves can be compared on one grid.
For a worked example, plotting y = x^2 - 3 gives an upward parabola whose lowest point sits at (0, -3) and which crosses the x-axis near x = -1.73 and x = 1.73 (where x^2 = 3). Add y = x - 1 on the same grid and the two curves meet where a line crosses the parabola, giving a visual solution to x^2 - 3 = x - 1. It is used to explore the shape of a function, find roots and intercepts, spot maxima and minima, and see where two graphs intersect.
Su'aalaha badanaa la isweydiiyo
Sideen u galaya shaqadii?
Ku qor x, sida x^2, sin (x) ama 2*x+1, xisaabinta graphing. Waxaad ku dari kartaa hawlo badan oo mid kasta oo ka mid ah waxaa lagu muujiyey midab kala duwan.
Ma awoodaa inaan fiiro gaarsiiyo oo aan u dhaqaaqo?
Haa. U gudub ama isticmaal badhamada zoom si aad u zoom, oo ku riix graph si aad u pan in ka badan.
Waa maxay shaqooyinka aan ku abuuri karaa?
Wax kasta oo muujinaya in xisaabinta cilmiga ah taageeraya - polynomials, trig, logs, exponentials, roots iyo isku dhafka iyaga.
Sideen u qorsheeyaa laba hawlo si ay u helaan halka ay isku dhacaan?
Ku dar hawl kasta oo ku saabsan line gaar ah, tusaale ahaan y = x ^ 2 - 3 iyo y = x - 1. Labada curves waxaa lagu muujiyey on grid isku mid ah, iyo dhibcaha ay ku dhex maraan waa xalka labada hadalka oo la mid ah.
Sidee baan u abuuraa xarfaha parabola sida y = x ^ 2 - 3?
Tixraac x^2 - 3 sida hawlgalka. Natiijadu waa parabola U-shaped oo leh vertex at (0, -3); zoom off ama pan si aad u aragto meesha ay ka gudbaan x-axis ku dhow ±1.73.
Ma waxaan ku qortaa shaqooyinka trigonometric?
Haa. Ku soo geli sin(x), cos(x) ama tan(x) oo hillaaca ayaa lagu muujiyaa daaqadda. Ku dar iyaga oo leh ereyada kale, sida sin(x) + x/2, si aad u aragto qaabka isku dhafan.
Maxaa ka dhigaya graphy aan u muuqdaan oo aan buuxin ama la mid ah?
Qalabka waa in ay ku yaallaan dibadda aragtida hadda. Zoom out ama Pan ilaa ay ka yimaadaan waajibaadka - si ay u shaqooyin aad u sarreeya ama qiimaha weyn aad badanaa u baahan tahay in ay u soo jiidasho on y-axis si ay u arkaan qaabka oo dhan.
Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.