Continuity Quiz
10 questions · easy to harder · Calculus · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 4 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Is f(x) = x2 − 3 continuous at x = 2- A) 1
- B) −2
- C) 2
2 Question 2
Is f(x) = 1/(x − 2) continuous at x = 2Type the answer.
3 Question 3
Is f(x) = x + 1x − 4 continuous at x = 1Type the answer.
4 Question 4
Solve f(x) = x2 for x < 2, x + 3 for x >= 2, continuous at x = 2Type the answer.
5 Question 5
Solve f(x) = x2 + 1 for x <= 1, 3 − x for x > 1, continuous at x = 1- A) −1
- B) 1
- C) 2
6 Question 6
Is f(x) = x2 − 4x − 2 continuous at x = 2Type the answer.
7 Question 7
F(x) = x2 − 4x − 2 for x != 2, 4 for x = 2, continuous at x = 2- A) 2
- B) 4
- C) −2
8 Question 8
F(x) = x2 − 1x − 1 for x != 1, 2 for x = 1, continuous at x = 1Type the answer.
9 Question 9
F(x) = x2 − 5x + 6x − 3 for x != 3, 1 for x = 3, continuous at x = 3- A) −3
- B) 3
- C) 1
10 Question 10
Solve f(x) = x2 + 2x for x < 1, x + 2 for x >= 1, continuous at x = 1Type the answer.