Daily Desmos 201b (Basic)

Creator

Michael Fenton (@mjfenton)

Difficulty

Basic

On to the Challenge!

A tangent line “touches” a graph at exactly one spot. Here’s an example of a tangent line:

201examplea

Here’s an example of a line that is not tangent to the curve (because it intersects the curve at two points):

201exampleb

Here’s an example of a line that is not tangent to the curve (because it doesn’t intersect the curve at all):

201examplec

And now the challenge: Can you graph a line that is tangent to the circle at one of the points shown on the graph? See how many points you can “touch” with tangent lines. (Click the graph to go to a live version at Desmos.com.)

201b

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