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TI Graphing Calculator Online

The Y=, WINDOW, TABLE and CALC workflow, with every value worked out
Table of values for y = x^2 - 3, x from -2 to 2
Intersection of y = 2x + 1 and y = -x + 7
Zeros of y = x^2 - 5x + 6
Plot the points (1,3), (2,5), (3,7) and find the line through them

The Four Screens a TI Actually Uses

Every TI-83, TI-84 or TI-Nspire task runs through the same four screens, and knowing which one you need is most of the skill:

  • Y= is where functions are typed, one per line, always solved for yy. Anything written as 2x+3y=122x + 3y = 12 must be rearranged to y=(12−2x)/3y = (12 - 2x)/3 first.
  • WINDOW sets Xmin, Xmax, Ymin, Ymax. A correct function in the wrong window shows a blank screen. ZoomStandard resets to −10-10 to 1010; ZoomFit picks a yy range for you.
  • TABLE (with TBLSET for the starting value and step) lists xx and yy side by side. This is the screen for reading exact values, since coordinates read off a graph are estimates.
  • CALC (2nd → TRACE) holds value, zero, minimum, maximum and intersect.

This page runs the same workflow in a browser and shows the arithmetic behind each entry — which the handheld never does.

Tables, Points and the CALC Menu

To build a table by hand, choose a start value and a step, then evaluate the function at each xx. For y=x2−3y = x^2 - 3 starting at x=−2x = -2 with step 1, substitute in turn and record each result. A table is the honest way to check a graph: if a plotted point disagrees with the table, you mistyped the function.

To plot raw points rather than a function, use the list editor (STAT → Edit) with xx values in L1 and yy values in L2, then turn on a STAT PLOT. Linear regression (STAT → CALC → LinReg) fits a line to those points.

CALC operations all need bounds. zero asks for a left bound and a right bound that straddle a single crossing, plus a guess. intersect asks which two curves and where to start looking. If the calculator returns the wrong root, the bounds enclosed the wrong crossing — that is a user answer, not a calculator error.

Common Mistakes to Avoid

  • Blank graph, correct function. The window does not contain the curve. Build a table first, then set Ymin and Ymax around the values you see.
  • Using the subtraction key for a negative number. On a TI, (-) and − are different keys, and mixing them gives a syntax error.
  • Implied multiplication. 2(x+1) is accepted, but 2x(x+1) can misparse; type the multiplication signs.
  • Radian versus degree mode. Trig graphs look flat or wildly compressed when the mode is wrong.
  • Leaving an old STAT PLOT on. A stray plot draws points over an unrelated graph, or throws a dimension mismatch error.
  • Trusting TRACE for exact answers. Trace steps in pixel-sized jumps. Use CALC or solve algebraically when the question wants an exact value.

示例题目

Step 1: x=−2x = -2: (−2)2−3=4−3=1(-2)^2 - 3 = 4 - 3 = 1
Step 2: x=−1x = -1: (−1)2−3=1−3=−2(-1)^2 - 3 = 1 - 3 = -2
Step 3: x=0x = 0: 0−3=−30 - 3 = -3
Step 4: x=1x = 1: 1−3=−21 - 3 = -2
Step 5: x=2x = 2: 4−3=14 - 3 = 1
Step 6: The yy values are symmetric about x=0x = 0, confirming the vertex sits at (0,−3)(0, -3).
Answer: (−2,1)(-2, 1), (−1,−2)(-1, -2), (0,−3)(0, -3), (1,−2)(1, -2), (2,1)(2, 1) — a window of −2≤y≤2-2 \le y \le 2 shows all of them

Step 1: Enter both functions in Y1 and Y2, then use CALC → intersect.
Step 2: The algebra behind it: set the two expressions equal, 2x+1=−x+72x + 1 = -x + 7.
Step 3: Add xx to both sides: 3x+1=73x + 1 = 7.
Step 4: Subtract 1 and divide by 3: 3x=63x = 6, so x=2x = 2.
Step 5: Substitute back: y=2(2)+1=5y = 2(2) + 1 = 5.
Step 6: Check in the second function: −2+7=5-2 + 7 = 5 ✓
Answer: They meet at (2,5)(2, 5)

Step 1: A zero is an xx-intercept, so set y=0y = 0: x2−5x+6=0x^2 - 5x + 6 = 0.
Step 2: Factor: two numbers multiplying to 6 and adding to −5-5 are −2-2 and −3-3, so (x−2)(x−3)=0(x - 2)(x - 3) = 0.
Step 3: The roots are x=2x = 2 and x=3x = 3.
Step 4: On the calculator, run CALC → zero twice: bound the first crossing with something like 1.51.5 and 2.52.5, then the second with 2.52.5 and 3.53.5.
Step 5: Using a single bound from 1 to 4 would enclose both crossings and return only one of them.
Answer: x=2x = 2 and x=3x = 3

常见问题

Almost always the viewing window rather than the function. Check a table of values, note the range the y values actually cover, and set Ymin and Ymax to include them. ZoomFit does this automatically for the current x range.

Enter the function on the Y= screen, press TBLSET to choose the starting x value and the step size, then press TABLE. Setting the independent variable to Ask instead of Auto lets you type in specific x values one at a time.

Put the x values in list L1 and the y values in L2 using the STAT editor, then switch on a STAT PLOT set to scatter. To get an equation through the points, run a linear regression from the STAT CALC menu, which returns the slope and intercept of the best-fit line.

For homework and self-study, yes, and it shows working a handheld cannot. For exams it depends entirely on the board and the invigilator: many standardised tests require an approved physical model, so check your rules before relying on a browser tool.

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