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CALC Menu - minimum/maximum - PowerPoint PPT Presentation


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Example. y = f(x) is given by. CALC Menu - minimum/maximum. CALC|minimum and CALC|maximum are used to find relative extrema. Enter the given function into Y1 and use a ZOOM|ZStandard window. . . The relative maximum point is here . . The relative minimum point is here .

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Presentation Transcript
slide1

Example

y = f(x) is given by

CALC Menu - minimum/maximum

  • CALC|minimum and CALC|maximum are used to find relative extrema.
  • Enter the given function into Y1 and use a ZOOM|ZStandard window.

  • The relative maximum point is here ...

  • The relative minimum point is here ...
slide2

Example

y = f(x) is given by

CALC Menu - minimum/maximum

  • Go to CALC|minimum.
  • The following calculator screen appears.
  • Note that: (1) The function is shown at the top left of the screen. (2) An entry for the Left Bound is asked for. This is an x-value to the left of the minimum point.

Slide 2

slide3

Example

y = f(x) is given by

CALC Menu - minimum/maximum

  • Since the relative minimum point appears to be just to the right of the y-axis, select a point that is to the left of the y-axis. This can be done in two different ways. Use only one of the two methods on the next slide.

Slide 3

slide4

Example

y = f(x) is given by

CALC Menu - minimum/maximum

(1) Use the left arrow key to move the trace cursor to the left of the y-axis and press ENTER.

(2) A second method is to type in an x-value that is clearly to the left of the y-axis, say x = -1. Enter -1 and then press ENTER. This is usually much faster.

Slide 4

slide5

Example

y = f(x) is given by

CALC Menu - minimum/maximum

  • Identify the Right Bound, or an x-value to the right of the minimum point. Again, this can be done in two different ways.

(1) Use the right arrow to move the cursor and press ENTER, or ...

(2) Type in 1, ENTER.

Slide 5

slide6

CALC Menu - minimum/maximum

Method (2)

Method (1)

  • Note that with either method, there are two arrows above the minimum pointing towards each other. If the x-value of the minimum is not between the arrows, start again with CALC|minimum and redo the bounds.

Slide 6

slide7

Example

y = f(x) is given by

CALC Menu - minimum/maximum

  • The calculator now asks for a “Guess?”. Just press ENTER and the relative minimum point is found to be at approximately (0.29, -4.30).

Slide 7

slide8

Example

y = f(x) is given by

CALC Menu - minimum/maximum

  • Now find the relative maximum, using a similar procedure.
  • Go to CALC|maximum.

  • Find the left and right bounds and ENTER when asked to Guess?
  • Answer: approximately (-2.29, 4.30)

Slide 8