Question

lucy wanted to study how the area of a rectangle changes with the length if its width is fixed. she computed the areas of several rectangles that have the same width and different lengths. she then plotted the results and connected them with a line, as shown below. the graph shows the area (in cm²) versus the length (in cm). find the range and the domain of the function shown. write your answers as inequalities, using x or y as appropriate. or, you may instead click on “empty set” or “all reals” as the answer. (a) range: (b) domain:

Explanation:

Step1: Identify domain (x-axis: length)

The graph starts at x=0 and ends at x=5 (length in cm).

Step2: Identify range (y-axis: area)

The graph starts at y=0 and ends at y=10 (area in cm²).

Answer:

(a) range: 0 ≤ y ≤ 10
(b) domain: 0 ≤ x ≤ 5