Question

the formula for the volume of a cube is $v(s)=s^{3}$ where $s$ is the side length of the cube. in which quadrant(s) is the graph of the function $v(s)$?

• quadrant i
• quadrant ii
• quadrants i and ii
• quadrants i and iii

Explanation:

Step1: Define valid domain

Side length $s > 0$ (cannot be negative/zero)

Step2: Find range of $V(s)$

$V(s)=s^3$, so $V(s) > 0$ when $s > 0$

Step3: Match to quadrant

Points $(s, V(s))$ have $(+, +)$, which is Quadrant I.

Answer:

quadrant I