Is it continuous? Reading graphs

Answer Key - Grade 12 Math Worksheet - Challenge Me

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

1. 1.

   A bike rental charges $3 for each started hour. C(t) is the cost at t hours. Ari asks what the graph does at t = 2. Which describes it?

   • a jump at t = 2
   • a hole at t = 2
   • continuous at t = 2
2. 2.

   A cart rolls along a track. s(t) is its position at t seconds. Bo asks what the graph does at t = 3. Which describes it?

   • continuous at t = 3
   • a hole at t = 3
   • a jump at t = 3
3. 3.

   A library fine is $0.25 for each started day late. F(t) is the fine at t days. Esme asks what the graph does at t = 4. Which describes it?

   • a hole at t = 4
   • continuous at t = 4
   • a jump at t = 4
4. 4.

   The air warms through the morning. T(t) is the temperature at t hours after dawn. Jun asks what the graph does at t = 6. Which describes it?

   • a hole at t = 6
   • a jump at t = 6
   • continuous at t = 6
5. 5.

   Kira graphs f(x) = (x − 1)/((x − 1)(x − 2)(x − 8)) for x from -5 to 5. Separated by commas, at which x-values in that window is f not continuous?

   1, 2
6. 6.

   Milo graphs f(x) = (x − 5)/((x − 5)(x − 3)(x − 12)) for x from 0 to 10. Separated by commas, at which x-values in that window is f not continuous?

   3, 5
7. 7.

   Noah graphs f(x) = (x + 1)/((x + 1)(x + 4)(x − 2)) for x from -6 to 0. Separated by commas, at which x-values in that window is f not continuous?

   -4, -1
8. 8.

   f(x) = (x² + 3x − 10)/(x − 2) has a hole at x = 2. Pia defines f(2) to make f continuous. What value should f(2) be?

   7
9. 9.

   f(x) = (x² − 2x − 3)/(x − 3) has a hole at x = 3. Ren defines f(3) to make f continuous. What value should f(3) be?

   4
10. 10.

    f(x) = (x² + 2x − 24)/(x − 4) has a hole at x = 4. Zee defines f(4) to make f continuous. What value should f(4) be?

    10