Question

a construction crew lengthened a road. it took 90 days. the graph shows the total length of the road (in kilometers) versus time (in days). find the domain and the range of the function shown. length of the road (kilometers) time (days) 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. (a) domain: (b) range:

Explanation:

Step1: Identify domain definition

The domain is the set of all possible input values (x - values), which here is time in days. The work took 90 days and started at day 0.
$0\leq x\leq90$

Step2: Identify range definition

The range is the set of all possible output values (y - values), which is the length of the road. The road started at 60 km and ended at 150 km.
$60\leq y\leq150$

Answer:

(a) $0\leq x\leq90$
(b) $60\leq y\leq150$