Piecewise Continuity

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the function continuous/discontinuous at 3.

Hint

What does it mean for a function to be discontinuous at a point?
What happens when you plug 3 into the function?

Answer

There are many answers.
For a continuous function, one example is 1x+2 and 3x-4.
For a discontinuous function, one example is 2x+5 and 4x-3

Source: Owen Kaplinsky

Use This Problem

Embedded problems let you easily add Open Middle problems into your Canvas assignments, Google Classroom, and more. Customize which elements are shown, and watch it update live before adding it anywhere.

Mode

Customization

Add to Platform

Check Also

Summation of Product Values

Directions: Using the digits 0 to 9, at most three times each, place a digit …

Leave a Reply

Your email address will not be published. Required fields are marked *