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Graphs, MET2 2007 VCAA 1 MC

The linear function  `f: D -> R,\ f(x) = 6 - 2x`  has range  `text([−4, 12]).`

The domain `D` is

  1. `[– 3, 5]`
  2. `[– 5, 3]`
  3. `R`
  4. `[– 14, 18]`
  5. `[– 18, 14]`
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`A`

Show Worked Solution
`12` `= 6 – 2x`
`x` `= – 3`

 

`- 4` `= 6 – 2x`
`x` `= 5`

 

`:. x in [– 3, 5]`

`=>   A`

Filed Under: Coordinate Geometry Tagged With: Band 4, smc-727-40-Domain/Range

Graphs, MET2 2016 VCAA 1 MC

The linear function  `f: D -> R,\ f(x) = 5 - x`  has range  `[−4, 5).`

The domain `D` is

  1. `(0, 9]`
  2. `(0, 1]`
  3. `[5, −4)`
  4. `[−9, 0)`
  5. `[1, 9)`
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`A`

Show Worked Solution
`5` `= 5 – x` `-4` `= 5 – x`
`x` `= 0` `x` `= 9`
`text{(non-inclusive)}` `text{(inclusive)}`

 

`:. x ∈ (0, 9]`

`=>   A`

Filed Under: Coordinate Geometry Tagged With: Band 2, smc-727-40-Domain/Range

Graphs, MET2 2014 VCAA 2 MC

The linear function  `f: D -> R, f (x) = 4 - x`  has range  `text{[−2, 6)}`.

The domain `D` of the function is

  1. `text{[−2, 6)}`
  2. `text{(−2, 2]}`
  3. `R`
  4. `text{(−2, 6]}`
  5. `text{[−6, 2]}`
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`D`

Show Worked Solution

met2-2014-vcaa-2-mc-answer

`:. D = (−2,6)`

`=>   D`

Filed Under: Coordinate Geometry Tagged With: Band 3, smc-727-40-Domain/Range

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