Piecewise Functions
Math ⇒ Functions
Piecewise Functions starts at 10 and continues till grade 12.
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See sample questions for grade 12
A function is defined as f(x) = { 2x+1, if x ≤ 0; x², if x > 0 }. Find f(0).
A function is defined as f(x) = { 2x+1, if x ≤ 0; x², if x > 0 }. Find f(3).
Describe a real-world situation that could be modeled by a piecewise function.
Given f(x) = { 2x, if x < 0; 3, if x = 0; x-1, if x > 0 }, find f(0).
Given f(x) = { 2x, if x < 0; 3, if x = 0; x-1, if x > 0 }, find f(-2).
Given f(x) = { 2x, if x < 0; 3, if x = 0; x-1, if x > 0 }, find f(5).
Given f(x) = { 3x+2, if x < 1; 5, if x = 1; 2x-1, if x > 1 }, find all values of x where f(x) = 5.
Given the function f(x) = { x+1, if x ≤ 2; 3x-4, if x > 2 }, for which value of x does f(x) switch from one rule to another?
Given the function f(x) = { x+2, if x < 0; 2x-1, if x ≥ 0 }, find f(2).
Given the function f(x) = { x+2, if x < 0; 2x-1, if x ≥ 0 }, find f(-3).
If f(x) = { 2x+3, if x < 1; 5, if x = 1; x², if x > 1 }, find f(0.5).
If f(x) = { 2x+3, if x < 1; 5, if x = 1; x², if x > 1 }, find f(1).
If f(x) = { 2x+3, if x < 1; 5, if x = 1; x², if x > 1 }, find f(2).
If f(x) = { 3, if x < 2; x², if x ≥ 2 }, what is f(1)?
If f(x) = { 3, if x < 2; x², if x ≥ 2 }, what is f(2)?
If f(x) = { x+1, if x < 2; 2x-3, if x ≥ 2 }, for which value of x is f(x) = 5?
If f(x) = { x+2, if x < 0; 2x-1, if x ≥ 0 }, what is the range of f(x)?
If f(x) = { x², if x < 1; 2x-1, if x ≥ 1 }, find the value of f(1).
What is a piecewise function?
Write a piecewise function that is equal to x² for x < 0 and 2x+1 for x ≥ 0.
