Piecewise Functions

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

• 1

• 2

• 3

• 4

Which of the piecewise functions matches this graph?

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Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x if x < 4; -x+1 if x ≥ 4

• f(x) = { x if x ≤ 4; -x+1 if x > 4

• f(x) = { -x+1 if x < 4; x if x ≥ 4

• f(x) = { -x+1 if x ≤ 4; x if x > 4

What are the domain restrictions for the green piece of this function?

• -2 < x ≤ 1
• -1 < x ≤ 0.5
• x > -2
• x ≤ 1

What are the domain restrictions for the red piece of this function?

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• $x\le-2$
  

• $x>1$
  

What are the domain restrictions for the black piece of this function?

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• $x\le-2$
  

• $x>1$
  

What happens if one of the equations on the formula is a constant?

• It is a straight horizontal line

• That cannot happen

• It is a straight vertical line

• it is a straight diagonal line, the direction determined by the sign (negative or positive)

Match the graph with the correct equation.

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Match the graph with the correct equation.

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Graph

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