Question

Eric 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.

Answer 1

Domain of a function

The domain of a function is the set of all possible inputs for the function.

Hence,

From the graph below, the domain of the function will be

Hence,

The domain will be

`\Rightarrow0\leq x<\infty`

Step 2:

Range of the function

The range of a function is the set of its possible output values.

From the graph below, the range of the function will be

Hence,

The range of the graph is

`0\leq y<\infty`