An intersection allude is where two or an ext graphs coincide. It is a point that is the equipment to a system of equations. The TI series is limited to the intersection of 2 curves.

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## All calculators

solve the equation because that Y if that isn"t currently that way. Walk to Y= get in the an initial function into y1 enter the second function into y2 struggle Graph adjust the viewing window if necessary so the you have the right to see where the graph has actually an intersection. You have to make certain that over there is enough to the left and also right of the intersection to choose a point. Continue on to the details steps for your calculator. If there are additional intersections come find, you might need to readjust your viewing home window and repeat the actions for every intersection.

## TI-82

When picking the 2 curves come use, the TI-82 defaults to y1 and also y2, therefore if those room the curve you"re using, you simply hit enter when the asks for the an initial and second curves. If your curves are not in y1 or y2, climate you can use the up or down arrowhead keys to select the different curves. The TI-82 will present you a 1 or 2 for the role number in the upper left hand corner of the screen.

press Calc (2nd Trace) select Intersect (#5) because that the very first Curve, hit enter. For the 2nd Curve, hit get in For the Guess, arrowhead to the intersection and press enter. The TI-82 will certainly return a value for x and also y. Both the these works with are part of the solution.

## TI-83

When choosing the 2 curves to use, the TI-83 defaults to y1 and also y2, therefore if those room the curve you"re using, you just hit go into when it asks for the first and second curves. If her curves are not in y1 or y2, climate you can use the increase or down arrow keys to choose the differentcurves. The TI-83 will show you the equation gift graphed in the top left hand edge of the screen.

push Calc (2nd Trace) select Intersect (#5) for the very first Curve, hit enter. Because that the 2nd Curve, hit go into For the Guess, arrowhead to the intersection and also press enter. The TI-83 will return a value for x and y. Both of these works with are part of the solution.

## TI-85 / TI-86

When picking the two curves to use, the TI-85 defaults to y1 and also y2, for this reason if those are the curve you"re using, you simply hit get in when that asks because that the an initial and 2nd curves. If your curves space not in y1 or y2, then you deserve to use the increase or down arrowhead keys to pick the differentcurves. The TI-85 doesn"t allow you know that it"s looking for the curves, it just shows a 1 or 2 for the curve number in the upper best hand corner of the screen.

push Graph Press an ext and then math (F1) Press reduced (F1). Arrowhead to the left that the intersection and press enter. Press Upper (F2). Arrowhead to the ideal of the intersection and press enter. Press much more and then ISect (F5) Hit get in to pick the an initial curve. arrow to a allude close come the intersection and hit go into to choose the second curve. The TI-85 will certainly return a worth for x and y. Both the these collaborates are part of the solution.

You perform not have to supply a guess because that the TI-85. You have to make certain there is only one intersection in the interval specified or girlfriend won"t know which one the is walking to offer you. Girlfriend can administer a hint because that the TI-85 by arrowing in the direction of the intersection allude you want.

## TI-89 / TI-92

When picking the 2 curves to use, the TI-89 defaults to y1 and y2, therefore if those are the curves you"re using, you simply hit enter when the asks for the very first and 2nd curves. If your curves room not in y1 or y2, then you can use the increase or down arrow keys to pick the different curves. The TI-89 will present you the equation being graphed in the upper left hand edge of the screen

Press mathematics (F5) choose Intersection (#5) for the 1st Curve, push enter. Because that the second Curve, push enter. Because that the reduced Bound, arrowhead to the left of the intersection and also hit enter. For the upper Bound arrow to the ideal of the intersection and also hit enter. The TI-89 will return a value for x and y. The x is wherein the intersection occurs and the y is the minimum or maximum value.

You perform not should supply a guess because that the TI-89. You must make certain there is just one intersection in the interval mentioned or you won"t recognize which one the is walk to offer you.

## Example (TI-83+)

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

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

We"ll uncover the intersection top top the left, first.

Graph Zero Curve 1 Curve 2 assumption: v Intersection      The calculator states the equipment is x = -1.964636 and y = 0.14020697

Repeat the procedures to discover the various other intersection point.

assumption: v Intersection  The 2nd intersection suggest is in ~ x = 1.0580064 and also y = 2.8806225.

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Note the you do not have to have every one of the intersections showing on the display at one time. You can readjust the viewing home window to find other intersection points. This is true the all attributes of the calc menu. Only the component of the graph that you"re interested in requirements to be visible. Otherx-intercepts, maximums, minimums, or intercepts don"t have to be showing.