Question

amy 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 ( \text{m}^2 )) versus the length (in m).

find the domain and the range 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.
domain:
range:

Explanation:

Step1: Identify domain (length, x)

The graph starts at $x=0$ (closed dot, included) and extends infinitely right. So the domain is all non-negative real numbers.
$x \geq 0$

Step2: Identify range (area, y)

The graph starts at $y=0$ (closed dot, included) and extends infinitely up. So the range is all non-negative real numbers.
$y \geq 0$

Answer:

domain: $x \geq 0$
range: $y \geq 0$