Is it continuous? Reading graphs

Grade 12 Math Worksheet - Building Confidence

Circle the best answer.

1. 1.

   Graph near x = -1: the left piece ends at one height and the right piece starts at another. Bo looks at the graph shown near x = -1, where the pen has to lift. What kind of break is it?

   • a jump at x = -1
   • an asymptote at x = -1
   • a hole at x = -1
2. 2.

   Jun looks at the graph shown near x = 4, where the pen has to lift. What kind of break is it?

   • a jump at x = 4
   • an asymptote at x = 4
   • a hole at x = 4
3. 3.

   Kira checks the graph shown at x = 2 with the three-part test. Which is true?

   • no limit at x = 2
   • not continuous at x = 2
   • continuous at x = 2
4. 4.

   Luz checks the graph shown at x = 1 with the three-part test. Which is true?

   • no limit at x = 1
   • not continuous at x = 1
   • continuous at x = 1
5. 5.

   Milo checks the graph shown at x = -2 with the three-part test. Which is true?

   • not continuous at x = -2
   • no limit at x = -2
   • continuous at x = -2
6. 6.

   Noah checks the graph shown at x = 3 with the three-part test. Which is true?

   • continuous at x = 3
   • no limit at x = 3
   • not continuous at x = 3
7. 7.

   Pia checks the graph shown on the interval from x = 0 to x = 3. Is f continuous on [0, 3]?

   • yes, continuous on [0, 3]
   • no, it breaks at x = 2
   • no, it breaks at x = 5
8. 8.

   everywhere else the pen never lifts. Ren checks the graph shown on the interval from x = -1 to x = 4. Is f continuous on [-1, 4]?

   • yes, continuous on [-1, 4]
   • no, because the graph has breaks
   • no, it breaks at x = 6
9. 9.

   Graph of f with breaks only at x = -2 and x = 4; everywhere else the pen never lifts. Tala checks the graph shown on the interval from x = 1 to x = 6. Is f continuous on [1, 6]?

   • yes, continuous on [1, 6]
   • no, it breaks at x = -2
   • no, it breaks at x = 4
10. 10.

    Zee checks the graph shown on the interval from x = -4 to x = 0. Is f continuous on [-4, 0]?

    • yes, continuous on [-4, 0]
    • no, it breaks at x = 2
    • no, because the graph has breaks