C ii Secure l https://www CGRAPHS AND FUNCTIONS Finding domain and range from a

Question

C ii Secure l https://www CGRAPHS AND FUNCTIONS Finding domain and range from a linear graph in context Tom is exploring the formula for the circumference of a cirde. He computed the circumferences of several airdes with different radit. He then plotted the res 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 Radius (m) 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. Check

Explanation / Answer

The radius is denoted by x. So domain is determined by x as follows : The function is defined for all non-negative values of x as shown in graph because graph is not defined when x is negative.

so domain = [0, infinity)

Range denotes the values taken by function y for different values of x. So range of given function is [0, infinity).

Note: The graph shows arrow which indicates that it is extending till infinity in x and y directions.

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