In 2005, the shabelle river in somalia rose an estimated 5.25 inches every hour for 15 hours. the increase in water level is represented by the function f(x)=5.25x, where x is the number of hours. graph this function and give it's domain and range. is the function discrete or continuous?

The Given situation is In 2005, the shabelle river in Somalia rose an estimated 5.25 inches every hour for 15 hours.

Increase in water level is represented by the function,f(x)=5.25 x.

or replacing f(x) by y we get ,y= 5.25 x

This is equation of straight line passing through the origin.

As x is number of hours , so x> 0,(0,∞] Which is it's domain.

As x> 0, so Range is those values of y for which x is defined.

,So Range is y>0 i.e (0,∞}

As the function has no breaking point , that is when you plot the graph on coordinate axis there is no breaking point.So , it is everywhere continuous i. e for all values of x.