Question

write the domain and range of the function using interval notation. note: if you do not see an endpoint, assume that the graph continues forever in the same direction. the domain is: the range is: question help: video 1 video 2

Explanation:

Step1: Determine the domain (x - values)

The left endpoint of the graph (the blue dot) is at \( x = -2 \) (since the x - coordinate of the left blue dot is - 2) and the right endpoint (the other blue dot) is at \( x = 4 \). Since these are closed dots, the domain includes all real numbers from - 2 to 4, inclusive. In interval notation, this is \([-2,4]\).

Step2: Determine the range (y - values)

The lowest y - value of the graph (from the left blue dot) is \( y=-5 \) and the highest y - value (from the right blue dot) is \( y = - 4 \). Since the line segment connects these two points, the range includes all real numbers from - 5 to - 4, inclusive. In interval notation, this is \([-5,-4]\).

Answer:

The domain is: \(\boldsymbol{[-2, 4]}\)
The range is: \(\boldsymbol{[-5, -4]}\)