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Functions, 2ADV F1 2024 HSC 1 MC

Consider the function shown.
 

Which of the following could be the equation of this function?

  1. \(y=2 x+3\)
  2. \(y=2 x-3\)
  3. \(y=-2 x+3\)
  4. \(y=-2 x-3\)
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\(C\)

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\(\text {Gradient is negative (top left } \rightarrow \text { bottom right)}\)

\(y \text{-intercept = 3 (only positive option)}\)

\(\Rightarrow C\)

Functions, 2ADV F1 2022 HSC 1 MC

Which of the following could be the graph of  `y= -2 x+2`?
 

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`A`

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`text{By elimination:}`

`y text{-intercept = 2  →  Eliminate}\ B and C`

`text{Gradient is negative  → Eliminate}\ D`

`=>A`

Functions, 2ADV F1 2009 HSC 1a

Sketch the graph of  `y-2x = 3`, showing the intercepts on both axes.   (2 marks)

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Show Worked Solution

`y-2x=3\ \ =>\ \ y=2x+3`

`ytext{-intercept}\ = 3`

`text{Find}\ x\ text{when}\ y=0:`

`0-2x=3\ \ =>\ \ x=-3/2`