1 / 9

# CALC Menu - minimum/maximum - PowerPoint PPT Presentation

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 .

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Example

y = f(x) is given by

• 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 ...

Example

y = f(x) is given by

• 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

Example

y = f(x) is given by

• 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

Example

y = f(x) is given by

(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

Example

y = f(x) is given by

• 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

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

Example

y = f(x) is given by

• 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

Example

y = f(x) is given by