Is it continuous? Reading graphs
Grade 12 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
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 hole at t = 2
- continuous at t = 2
- a jump at t = 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 jump at t = 3
- a hole at t = 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?
- continuous at t = 4
- a hole at t = 4
- a jump at t = 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
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?
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?
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?
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?
f(x) = (x² + 7x + 10)/(x + 2) has a hole at x = -2. Tala defines f(-2) to make f continuous. What value should f(-2) be?
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?
