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CALC Menu - intersect

Example. Find all points of intersection for the functions given by. CALC Menu - intersect. CALC|intersect is used to find the intersection point of two curves. Enter function f into Y1 and function g into Y2. Use a ZOOM|ZStandard window. Example. CALC Menu - intersect.

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CALC Menu - intersect

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  1. Example Find all points of intersection for the functions given by CALC Menu - intersect • CALC|intersect is used to find the intersection point of two curves. • Enter function f into Y1 and function g into Y2. Use a ZOOM|ZStandard window.

  2. Example CALC Menu - intersect • Go to CALC|intersect. • The following calculator screen appears. • Note that: (1) Function f, or Y1, is shown at the top left of the screen. • (2) The trace cursor is located at the point (0,-4) on the graph of function f. Slide 2

  3. Example CALC Menu - intersect (3) There are three points of intersection on the two curves. It is necessary to specify which point is to be found. This is done in the last step. • The calculator is asking for the “First curve?” to be identified. Press ENTER to select function f, or Y1. Slide 3

  4. Example CALC Menu - intersect • Note that function g, or Y2, is now shown at the top left corner of the screen. Also, the trace cursor is located at the point (0,1) on the graph of function g. • The calculator is asking for the “Second curve?” to be identified. Press ENTER to select function g, or Y2. Slide 4

  5. Example CALC Menu - intersect • The calculator is asking for a “Guess?”. This is necessary to identify which of the three points is to be found. There are two different ways to accomplish this. Use only one of the two methods on the next slide. Slide 5

  6. Example CALC Menu - intersect (1) Use the right arrow key to move the trace cursor to the far right intersection point and press ENTER. (2) A second method is to type in an x-value that is close to the intersection point, say x = 2. Enter a 2 and then press ENTER. This is usually much faster. Slide 6

  7. Example CALC Menu - intersect • The point of intersection is approximately at (1.45,2.45). • The process can now be repeated to find the other two points of intersection. Start with the point on the far left. Slide 7

  8. Example CALC Menu - intersect • Go to CALC|intersect. • Note that the trace cursor is still at the right intersection point. Press ENTER twice to accept Y1 as the first curve and Y2 as the second curve. • For a guess, enter -3. • The answer is approximately (-3.45, -2.45) Slide 8

  9. Example CALC Menu - intersect • Find the third point of intersection. • Answer: (-1,0) Slide 9

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