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: 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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