An intersection point is where 2 or much more graphs coincide. The is a point that is the systems to a mechanism of equations. The TI series is minimal to the intersection of 2 curves.

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All calculators

resolve the equation because that Y if it isn"t already that way. Walk to Y= get in the very first function into y1 enter the second role into y2 fight Graph readjust the viewing window if necessary so that you can see whereby the graph has an intersection. You need to make sure that over there is enough to the left and right that the intersection to choose a point. Continue on come the details steps for your calculator. If over there are extr intersections come find, you might need to adjust your viewing home window and repeat the steps for every intersection.

TI-82

When selecting the two curves come use, the TI-82 defaults to y1 and y2, for this reason if those are the curves you"re using, you just hit get in when the asks for the an initial and second curves. If her curves are not in y1 or y2, climate you can use the increase or down arrowhead keys to choose the different curves. The TI-82 will show you a 1 or 2 for the function number in the top left hand edge of the screen.

push Calc (2nd Trace) pick Intersect (#5) for the an initial Curve, fight enter. For the 2nd Curve, hit go into For the Guess, arrow to the intersection and also press enter. The TI-82 will return a worth for x and y. Both that these coordinates are component of the solution.

TI-83

When selecting the two curves to use, the TI-83 defaults come y1 and y2, therefore if those are the curves you"re using, you just hit get in when the asks because that the an initial and 2nd curves. If her curves space not in y1 or y2, then you can use the up or down arrow keys to select the differentcurves. The TI-83 will show you the equation being graphed in the upper left hand corner of the screen.

press Calc (2nd Trace) pick Intersect (#5) because that the an initial Curve, fight enter. For the 2nd Curve, hit get in For the Guess, arrow to the intersection and also press enter. The TI-83 will return a value for x and also y. Both that these coordinates are part of the solution.

TI-85 / TI-86

When choosing the two curves to use, the TI-85 defaults to y1 and also y2, so if those room the curves you"re using, you simply hit enter when it asks because that the an initial and 2nd curves. If her curves are not in y1 or y2, climate you have the right to use the increase or down arrowhead keys to select the differentcurves. The TI-85 doesn"t let you understand that it"s trying to find the curves, it simply shows a 1 or 2 because that the curve number in the upper ideal hand edge of the screen.

push Graph Press much more and then math (F1) Press lower (F1). Arrowhead to the left the the intersection and press enter. Push Upper (F2). Arrow to the appropriate of the intersection and press enter. Press an ext and then ISect (F5) Hit get in to choose the first curve. arrowhead to a suggest close come the intersection and hit go into to pick the 2nd curve. The TI-85 will certainly return a value for x and y. Both of these coordinates are part of the solution.

You do not should supply a guess because that the TI-85. You have to make certain there is only one intersection in the interval mentioned or friend won"t know which one that is walk to give you. Friend can provide a hint because that the TI-85 by arrowing in the direction of the intersection point you want.

TI-89 / TI-92

When selecting the 2 curves come use, the TI-89 defaults come y1 and also y2, for this reason if those space the curve you"re using, you just hit go into when that asks for the very first and second curves. If her curves are not in y1 or y2, climate you deserve to use the up or down arrow keys to pick the different curves. The TI-89 will display you the equation gift graphed in the upper left hand corner of the screen

Press mathematics (F5) pick Intersection (#5) because that the 1st Curve, press enter. For the second Curve, push enter. Because that the lower Bound, arrowhead to the left of the intersection and also hit enter. Because that the top Bound arrow to the best of the intersection and also hit enter. The TI-89 will certainly return a worth for x and also y. The x is wherein the intersection occurs and also the y is the minimum or maximum value.

You carry out not need to supply a guess for the TI-89. You have to make certain there is only one intersection in the interval specified or you won"t know which one that is walking to provide you.

Example (TI-83+)

Find the intersection the the two curves y = ex and also y=4-x2

Enter the y1 = ex and y2 = 4 - x2 and also then graph. You might need to readjust your viewing home window so the the intersection is visible. My home window settings for the graphs listed below are XMin = -3, XMax = 3, YMin = -1, and YMax = 5.

We"ll discover the intersection on the left, first.

Graph Zero Curve 1 Curve 2 guess: v Intersection
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The calculator says the solution is x = -1.964636 and also y = 0.14020697

Repeat the procedures to discover the various other intersection point.

guess Intersection
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The second intersection point is at x = 1.0580064 and y = 2.8806225.

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Note the you do not need to have all of the intersections reflecting on the display at one time. Friend can readjust the viewing window to discover other intersection points. This is true of all attributes of the calc menu. Just the part of the graph that you"re interested in needs to be visible. Otherx-intercepts, maximums, minimums, or intercepts don"t need to be showing.