Piecewise Functions

Math ⇒ Functions

Piecewise Functions starts at 10 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Piecewise Functions. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

Describe a real-life situation that can be modeled by a piecewise function.

Describe how to determine which piece of a piecewise function to use for a given value of x.

Evaluate f(2) for the function f(x) = { x² for x < 1, 3x for x ≥ 1 }.

Evaluate f(-3) for f(x) = { x+5 for x < 0, 2x for x ≥ 0 }.

Given f(x) = { 2 for x < 0, x² for 0 ≤ x < 2, 3x for x ≥ 2 }, find f(2).

Given f(x) = { 2x for x < 0, 5 for x = 0, x+1 for x > 0 }, find f(0).

Given f(x) = { 2x for x < 1, 3 for x = 1, x+1 for x > 1 }, find f(1.5).

Given f(x) = { 2x+1 for x < 2, 5 for x = 2, x-1 for x > 2 }, find f(3).

Given f(x) = { 3 for x < 2, x for x ≥ 2 }, find f(2).

Given f(x) = { x² for x < 0, 1 for x = 0, x+2 for x > 0 }, find f(-1).

If f(x) = { 2x for x < 0, 3 for x = 0, x-1 for x > 0 }, what is f(-1)?

If f(x) = { 2x+1 for x < 0, 0 for x = 0, x-1 for x > 0 }, what is f(2)?

If f(x) = { 2x+1 for x ≤ 0, x-3 for x > 0 }, what is f(-2)?

If f(x) = { 4 for x ≤ 0, x² for x > 0 }, what is f(0)?

If f(x) = { x+1 for x < 0, 0 for x = 0, x-1 for x > 0 }, what is f(1)?

If f(x) = { x+2 for x < 0, 0 for x = 0, x-2 for x > 0 }, what is f(0)?

If f(x) = { x² for x < 0, 0 for x = 0, -x for x > 0 }, what is f(0)?

If f(x) = { x² for x ≤ 1, 2x for x > 1 }, what is f(1)?

What is a piecewise function?

Write a piecewise function that equals 0 for x < 0, 1 for 0 ≤ x < 1, and 2 for x ≥ 1.