U can refer to the picture that I’ve attach below
Answer:
The domain would be -3≤x≤2 and the range would be -5≤y≤4
Step-by-step explanation:
The domain is where the x values cover, so since on the graph the points range from having -3 as the x value to 2, x would be anything between or equal to these values.
The domain is where the y values cover, so since on the graph the points range from having -5 as the y value to 4, y would be anything between or equal to these values.
Answer:
The correct option is 3.
Step-by-step explanation:
From the given graph it is noticed that the related line passing through the point (-3,1) and (0,3).
If a line passing through two points, then the equation of line is
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
The equation of related line is
![y-1=\frac{3-1}{0-(-3)}(x-(-3))](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B3-1%7D%7B0-%28-3%29%7D%28x-%28-3%29%29)
![y-1=\frac{2}{3}(x+3)](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B2%7D%7B3%7D%28x%2B3%29)
![y-1=\frac{2}{3}(x)+2](https://tex.z-dn.net/?f=y-1%3D%5Cfrac%7B2%7D%7B3%7D%28x%29%2B2)
Add 1 on both the sides.
![y=\frac{2}{3}(x)+2+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7D%28x%29%2B2%2B1)
![y=\frac{2}{3}(x)+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7D%28x%29%2B3)
The equation of related line is
.
The related line is a dotted line, it means the point on the line does not included in the solution set.
The shaded region is above the line so the sign of inequity is >.
The required inequality is
![y>\frac{2}{3}(x)+3](https://tex.z-dn.net/?f=y%3E%5Cfrac%7B2%7D%7B3%7D%28x%29%2B3)
Therefore option 3 is correct.