How to Find Intersections on a TI-84 Calculator

Introduction

Intersection problems ask where two graphs have the same x-value and the same y-value. The TI-84 is helpful because you can see both functions at once and then narrow in on the crossing point.

You can practice this workflow with the online TI-84 calculator on this site, then repeat the same steps on a physical calculator in class or during homework.

Step-by-step workflow

1. Enter the first function in Y1 and the second function in Y2.
2. Press GRAPH and make sure both graphs are visible.
3. Use ZOOM or WINDOW if the crossing point is off screen.
4. Use TRACE or a table to move near the point where the graphs meet.
5. Record the approximate x-value and y-value with proper rounding.

Practice example

Graph `Y1 = 2X + 1` and `Y2 = X^2 - 3`. The intersection is where the line and parabola cross. Use the graph first, then use a table near the x-values you see.

Tips for better results

• Clear old entries before starting a new problem.
• Use parentheses when the expression has fractions, roots, or grouped terms.
• Compare the calculator result with the original question so you know what the number means.

Common mistakes

• Leaving an old Y3 function turned on.
• Using a window that hides one of the intersections.
• Reporting only the x-value when the problem asks for an ordered pair.

FAQ

Can I practice this on the online calculator?

Yes. Use the calculator on this site for practice and review, especially when you want to repeat a workflow several times.

Is the workflow exactly the same on every TI-84 model?

Most core steps are similar across TI-84 and TI-84 Plus models, but menu names and screen details can vary slightly.

For a broader overview, read the complete TI-84 calculator guide or return to the online calculator.