12th grade Is it continuous? Reading graphs worksheet

Is it continuous? Reading graphs

Grade 12 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Left-hand limit 4; right-hand limit 4; f(2) not defined. Ari runs the three-part test at x = 2 with the table shown. Which statement is true?

   • f is continuous at 2
   • the limit does not exist
   • f(2) is not defined
   • the limit is not f(2)
2. 2.

   Left-hand limit 2; right-hand limit 5; f(1) = 2. Bo runs the three-part test at x = 1 with the table shown. Which statement is true?

   • the limit is not f(1)
   • f(1) is not defined
   • the limit does not exist
   • f is continuous at 1
3. 3.

   Left-hand limit 3; right-hand limit 3; f(-3) = 1. Esme runs the three-part test at x = -3 with the table shown. Which statement is true?

   • the limit is not f(-3)
   • f(-3) is not defined
   • the limit does not exist
   • f is continuous at -3
4. 4.

   Left-hand limit 6; right-hand limit 6; f(4) = 6. Jun runs the three-part test at x = 4 with the table shown. Which statement is true?

   • the limit does not exist
   • the limit is not f(4)
   • f is continuous at 4
   • f(4) is not defined
5. 5.

   Kira studies f(x) = (x + 3)/(x² − 4). Separated by commas, at which x-values is f not continuous?
6. 6.

   Luz studies f(x) = (x − 1)/(x² − 9). Separated by commas, at which x-values is f not continuous?
7. 7.

   Milo studies f(x) = (x + 5)/(x² − x − 6). Separated by commas, at which x-values is f not continuous?
8. 8.

   Noah studies f(x) = (2x)/(x² − 16). Separated by commas, at which x-values is f not continuous?
9. 9.

   Pia knows roots, logs and rational functions are continuous on their domains. Where is f(x) = √(x − 2) continuous?

   • x > 2
   • x ≥ 2
   • all real numbers
10. 10.

    Zee knows roots, logs and rational functions are continuous on their domains. Where is f(x) = 1/√(x − 1) continuous?

    • all real numbers
    • x > 1
    • x ≥ 1