Piecewise functions Quiz
10 questions · easy to harder · Algebra 2 · score and step-by-step answers
How it works
- 10 questions, about 20 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 3 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
f(x) = x + 2 if x < 1, 3x − 1 if x >= 1, find f(4)- A) f(4) = 11
- B) f(4) = 6
- C) f(4) = −11
2 Question 2
f(x) = x + 2 if x < 1, 3x − 1 if x >= 1, find f(−2)Type the answer.
3 Question 3
f(x) = 2x if x < 0, x + 5 if x >= 0, find f(3)Type the answer.
4 Question 4
f(x) = 4 if x < 2, x − 1 if x >= 2, find f(−1)Type the answer.
5 Question 5
f(x) = x2 if x < 0, 2x + 1 if x >= 0, find f(−3)- A) f(−3) = −5
- B) f(−3) = 9
- C) f(−3) = −9
6 Question 6
f(x) = 6 − x if x < 3, 2x − 4 if x >= 3, find f(0)Type the answer.
7 Question 7
f(x) = x + 2 if x < 1, 3x − 1 if x >= 1, find f(1)- A) f(1) = −2
- B) f(1) = 2
- C) f(1) = 3
8 Question 8
f(x) = −1 if x < −2, x + 1 if −2 <= x < 2, 3 if x >= 2, find f(2)Type the answer.
9 Question 9
f(x) = −1 if x < −2, x + 1 if −2 <= x < 2, 3 if x >= 2, find f(0)Type the answer.
10 Question 10
F(x) = x2 − 4 if x < −1, 3x if −1 <= x <= 2, 7 − x if x > 2, find f(−3)Type the answer.