Use vertical and horizontal boundary lines to help state the domain and range of the function given. (Gridlines are spaced one unit apart.)
A) x $\in$ [-5, 4], y $\in$ (-?, 3]
B) x $\in$ [-5, 4], y $\in$ (-2, 3]
C) x $\in$ (-?, 4], y $\in$ (-?, 3]
D) x $\in$ (-?, 4], y $\in$ [-2, 3]

Question

Use vertical and horizontal boundary lines to help state the domain and range of the function given.   (Gridlines are spaced one unit apart.)
A) x $\in$ [-5, 4], y $\in$ (-?, 3] 
B) x $\in$ [-5, 4], y $\in$ (-2, 3] 
C) x $\in$ (-?, 4], y $\in$ (-?, 3] 
D) x $\in$ (-?, 4], y $\in$ [-2, 3]

Quizplus · Accepted Answer

The vertical boundary line at x = 4 indicates that the largest value of x is 4, so the domain of the function has an upper bound of 4. The horizontal boundary line at y = 3 indicates that the largest value of y is 3, so the range of the function has an upper bound of 3. However, there are no horizontal boundary lines or arrows indicating that the range is unbounded below, so we know that the range has a lower bound of negative infinity. Therefore, the correct answer is choice C.

Use Vertical and Horizontal Boundary Lines to Help State the Domain