The domain is the set of all values of x on the horizontal axis that satisfies the function. It is between the lowest value of x on the left side of the graph and the greatest value of x on the right. From the graph,
on the left, lowest value is - 4. The shaded circle tells us that - 4 is incusive. It would be shown in the interval notation by using [ . The greatest value on the right is 1. The unshaded circle tells us that 1 is not incusive. It would be shown in the interval notation by using )
Thus,
Domain = [- 4, 1)
The range is the set of all values of y on the vertical axis that satisfies the function. It is between the lowest value of y on the bottom of the graph and the greatest value of y at the top. From the graph,
at the bottom, lowest value is - 5. The curve touches it and it means that it is incusive. It would be shown in the interval notation by using [ . The greatest value at the top is 4. The unshaded circle tells us that 4 is not incusive. It would be shown in the interval notation by using )
Thus,
Range = [- 5, 4)