Step-by-step explanation:
We have the equation,
y = 2x + 4.
The range for x is given by { -2, 1, 2 }.
We now substitute these values of x in y = 2x + 4 to obtain the corresponding values of y.
At x = -2, [tex]y = 2 \times (-2) + 4[/tex] → [tex]y = -4 + 4[/tex] → y = 0
At x = 1 , [tex]y = 2 \times (1) + 4[/tex] → [tex]y = 2 + 4[/tex] → y = 6
At x = 2, [tex]y = 2 \times (2) + 4[/tex] → [tex]y = 4 + 4[/tex] → y = 8
So, the range of y is { 0, 6, 8 }
Plotting the ordered pairs (-2,0) , (1,6) and (2,8) gives the following graph.