Piecewise Linear Functions

The graph represents a piecewise function. How many pieces make up the function?

• 1

• 2

• 3

• 4

What is the equation and domain of the blue piece, labelled as "A"?

• f(x) = x + 1, x ≤ –1

• f(x) = x + 2, x ≤ –1

• f(x) = x, x ≤ –1

• f(x) = x – 1, x ≤ –1

The equation of the red piece is y = 1. What is the domain of the red piece?

• x > –1

• x < –1

• x < –1 or x > 1

• –1 < x < 1

What is the equation and domain of the green piece, labelled as "C"?

• f(x) = 3x + 1, x ≥ 1

• f(x) = 3x, x ≥ 1

• f(x) = 3x – 1, x ≥ 1

• f(x) = 3x – 2, x ≥ 1

Classify the function whose graph is shown.

• Piecewise Exponential

• Piecewise Quadratic

• Piecewise Linear

• Absolute Value

The graph represents a piecewise function. How many pieces make up the function?

• 1

• 2

• 3

• 4

What is the equation of the linear piece, labelled as "A"?

• g(x) = –1

• g(x) = 1

• x = 1

• x = –1

What is the domain of the linear piece, labelled as "A"?

• x ≥ –1

• x > –1

• x < –1

• x ≤ –1

What is the equation of the quadratic piece, labelled as "B"?

• g(x) = x² – 3

• g(x) = (x–3)²

• g(x) = x² + 3

• g(x) = (x–3)²

What is the domain of the quadratic piece, labelled as "B"?

• x ≥ –3

• x ≥ –1

• x > –1

• x > –3