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Worksheet: Domain and Range of a Step Function

In this worksheet, we will practice finding the domain and range of step functions.

Q1:

State the domain and range of the step function whose graph is shown.

  • ADomain: βˆ’ 8 ≀ π‘₯ ≀ 6 . 5 , range: { βˆ’ 2 , 4 }
  • BDomain: βˆ’ 2 ≀ π‘₯ < 4 , range: { βˆ’ 8 , βˆ’ 2 , 6 . 5 , 4 }
  • CDomain: βˆ’ 8 < π‘₯ ≀ 6 . 5 , range: { βˆ’ 8 , βˆ’ 2 , 6 . 5 }
  • DDomain: βˆ’ 8 < π‘₯ ≀ 6 . 5 , range: { βˆ’ 2 , 0 . 5 , 4 }
  • EDomain: βˆ’ 2 ≀ π‘₯ < 4 , range: { βˆ’ 2 , 0 . 5 , 4 }

Q2:

State the domain and range of the following function:

  • ADomain: βˆ’ 1 2 ≀ π‘₯ ≀ 4 , range:  βˆ’ 2 , 1 1 2 , 0 
  • BDomain: βˆ’ 2 < π‘₯ ≀ 1 1 2 , range: { βˆ’ 1 2 , βˆ’ 1 , 1 , 4 }
  • CDomain: βˆ’ 2 ≀ π‘₯ ≀ 1 1 2 , range: { βˆ’ 1 2 , βˆ’ 1 , 1 , 4 }
  • DDomain: βˆ’ 1 2 < π‘₯ ≀ 4 , range:  βˆ’ 2 , 1 1 2 , 0 
  • EDomain: βˆ’ 1 2 < π‘₯ ≀ 4 , range:  βˆ’ 1 2 , βˆ’ 1 , 1 , 1 1 2 , 4 

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