11 Desmos Challenges: Restrictions (#7)


Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Warning: count(): Parameter must be an array or an object that implements Countable in /home3/reasonan/public_html/wp-includes/media.php on line 1206

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Warning: count(): Parameter must be an array or an object that implements Countable in /home3/reasonan/public_html/wp-includes/media.php on line 1206

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Warning: count(): Parameter must be an array or an object that implements Countable in /home3/reasonan/public_html/wp-includes/media.php on line 1206

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 2432

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Expand your control over the coordinate plane by learning how to apply restrictions on the domain and range of expressions, functions, and relations.

Basic

Goal: Use eight expression lines to graph the rectangle (four points, four line segments) shown below.

7.1 Prompt

Note: Be sure to add restrictions (domain or range) to limit the segments.

Advanced

Goal: Use six expression lines to graph the triangle (three movable points, three line segments) shown below.

7.2 Prompt

Hint: Use some “min” and “max” magic on your domain restrictions so that the line segments remain visible regardless of where you drag the movable points.

Legendary

Goal: Use four expression lines to create purple rain (and green grass).

7.3 Prompt

Hint: I used a list, a linear function with a sinusoidal domain restriction, a slider (the rain needs to fall from the sky, after all), and an absolute-value heavy sinusoid (for the grass).

Note: Don’t worry about matching the image perfectly on this one. Just make it rain!

Solutions

Get ’em here.

You Create

Use what you’ve learned about restrictions to create your own amazing graph. Share it here.

(Need some help with how to share a graph? Check out 11 Challenges: Saving and Sharing (#9).)


Notice: compact(): Undefined variable: limits in /home3/reasonan/public_html/wp-includes/class-wp-comment-query.php on line 860

Notice: compact(): Undefined variable: groupby in /home3/reasonan/public_html/wp-includes/class-wp-comment-query.php on line 860

Comments 3


  1. Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

    Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

    Hey! I’m loving this tutorial you’ve put together. I was working on the advanced level above and noticed that there are values where if the slider is dragged to them, the line disappears, in both the one I created and on your solutions page, even though I defined my functions a bit differently than yours. Upon investigation, I believe this is happening due to the slope having a denominator of zero when the x values in the denominator are the same on the sliders. Is there any sort of workaround with Desmos to say something to the effect of “when the denominator of the slope=0 (e.g. when x2-x1=0), graph x=x1 between y1 and y2 instead?


  2. Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

    Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

  3. Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

    Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

    Hi Michael. Both options are definitely helpful to see, but especially the first since I couldn’t quite figure out how to input those additional restrictions. Of course the second option is clearly preferred if restrictions aren’t needed. Thanks so much for your quick reply!


Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Leave a Reply
Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371