Piecewise Functions
Math ⇒ Functions
Piecewise Functions starts at 10 and continues till grade 12.
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See sample questions for grade 11
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 can be modeled by a piecewise function.
Describe how to determine if a piecewise function is continuous at a point where the formula changes.
Explain why the function f(x) = { x², if x < 0; x, if x ≥ 0 } is not differentiable at x = 0.
Given f(x) = { 2x+1, if x < 0; 3x-2, if x ≥ 0 }, for which value of x does f(x) = 4?
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, if x < 0; 3, if x = 0; x-1, if x > 0 }, find f(0).
If f(x) = { 2x, if x < 0; 3, if x = 0; x-1, if x > 0 }, find f(-2).
If f(x) = { 2x, if x < 0; 3, if x = 0; x-1, if x > 0 }, find f(5).
If f(x) = { 2x+1, if x < 1; 3, if x = 1; x², if x > 1 }, find f(1).
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 < 0; 0, if x = 0; x-1, if x > 0 }, what is the range of f(x)?
If f(x) = { x+2, if x < 0; 2x-1, if x ≥ 0 }, what is the range of f(x)?
If f(x) = { x+2, if x < 0; 2x-1, if x ≥ 0 }, what is the value of f(x) at x = 0?
If f(x) = { x+2, if x ≤ 1; 3x, if x > 1 }, find the value of x where f(x) is not continuous.
If f(x) = { x², if x ≤ 2; 4x-3, if x > 2 }, find f(2).
If f(x) = { x², if x ≤ 2; 4x-3, if x > 2 }, find f(3).
