Worksheet: Domain and Range of a Step Function

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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: − 8 ≤ 𝑥 ≤ 6 . 5 , range: { − 2 , 4 }
  • BDomain: − 2 ≤ 𝑥 < 4 , range: { − 8 , − 2 , 6 . 5 , 4 }
  • CDomain: − 8 < 𝑥 ≤ 6 . 5 , range: { − 8 , − 2 , 6 . 5 }
  • DDomain: − 8 < 𝑥 ≤ 6 . 5 , range: { − 2 , 0 . 5 , 4 }
  • EDomain: − 2 ≤ 𝑥 < 4 , range: { − 2 , 0 . 5 , 4 }

Q2:

State the domain and range of the following function:

  • ADomain: − 1 2 ≤ 𝑥 ≤ 4 , range: − 2 , 1 1 2 , 0
  • BDomain: − 2 < 𝑥 ≤ 1 1 2 , range: { − 1 2 , − 1 , 1 , 4 }
  • CDomain: − 2 ≤ 𝑥 ≤ 1 1 2 , range: { − 1 2 , − 1 , 1 , 4 }
  • DDomain: − 1 2 < 𝑥 ≤ 4 , range: − 2 , 1 1 2 , 0
  • EDomain: − 1 2 < 𝑥 ≤ 4 , range: − 1 2 , − 1 , 1 , 1 1 2 , 4

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