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 direct the domain is: the range is: question help: video 1 video 2

Explanation:

Step1: Determine the domain (x - values)

The graph has a solid dot at \( x = -4 \) and another at \( x = 4 \), and the line segment connects these two points. So the domain is the set of all \( x \) - values from \( -4 \) to \( 4 \), inclusive. In interval notation, that is \( [-4, 4] \).

Step2: Determine the range (y - values)

The \( y \) - values of the endpoints: at \( x=-4 \), \( y = - 4 \); at \( x = 4 \), \( y=-2 \). The line segment is increasing, so the range is the set of all \( y \) - values from \( -4 \) to \( -2 \), inclusive. In interval notation, that is \( [-4, -2] \).

Answer:

The domain is: \([-4, 4]\)
The range is: \([-4, -2]\)