Piecewise Practice

V Shaped Graph

Split in half vertically is called the axis of symmetry

x =

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​Absolute Value Function

Multiple Choice

What is the axis of symmetry?

• x = 2

• x = 3

• x = 4

• x = 0

Multiple Choice

What is the axis of symmetry?

• x = 1

• x = 3

• x = 6

• x = 2

V Shaped Graph

Split in half vertically at the axis of symmetry to create two "pieces"

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​Piecewise Function

​Two equations for each line split at the axis of symmetry

-x - 6 x < -4
x + 2 x > -4

​Piecewise Function

Multiple Choice

Write f(x) = | x - 3| -2 as a piecewise function.

• -2x + 4 x $$\le$$ 3

  2x - 8 x > 3

• -2x + 4 x $$\le$$ 2

  2x - 8 x > 2

• -2x - 4 x $$\le$$ 3

  2x + 8 x > 3

• -2x - 4 x $$\le$$ 2

  2x + 8 x > 2

Multiple Choice

Write f(x) = | x - 1| + 6 as a piecewise function

• -3x + 3 x $$\le$$ 3

  3x - 9 x > 3

• 3x + 3 x $$\le$$ 1

  -3x + 9 x > 1

• -3x + 3 x $$\le$$ 1

  3x - 9 x > 1

• 3x + 3 x $$\le$$ 1

  -3x - 9 x > 1