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Completion requirements
For the linear function \(y = -3x - 6 \),
- determine the \(x\)- and \(y\)-intercepts algebraically
- sketch its graph
- determine the domain and range
| \(x\)-intercept |
|
\({\color{red}{\begin{align}
y &= -3x - 6 \\ 0 &= -3x - 6 \\ 6 &= -3x \\ -2 &= x \end{align}}}\) \((−2, 0) \) |
| \(y\)-intercept |
|
\({\color{red}{\begin{align}
y &= -3x - 6 \\ y &= -3\left( 0 \right) - 6 \\ y &= -6 \end{align}}}\) \((0, −6) \) |
|
Domain:
Range: |
|
Domain: {\(x | x \in \rm{R} \)}
Range: {\(y | y \in \rm{R}\)} |
Graph
| Window Settings | |
|---|---|
| XMin |
−10
|
| XMax | 10 |
|
XScale
|
1
|
| YMin |
−10
|
| YMax |
10
|
| YScale |
1
|