Question

dean is exploring the formula for the circumference of a circle. he computed the circumferences of several circles with different radii. he then plotted the results and connected them with a line, as shown below. the graph shows the circumference (in m) versus the radius (in m). find the domain and the range of the function shown. (a) domain: (b) range: 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.

Explanation:

Step1: Determine domain (radius)

Radius is non-negative, so \( x \geq 0 \).

Step2: Determine range (circumference)

Circumference \( C = 2\pi r \geq 0 \), so \( y \geq 0 \).

Answer:

(a) domain: \( x \geq 0 \)
(b) range: \( y \geq 0 \)