Question

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 the function and give its domain and range.

Answer 1

3 6 9 12 15. These numbers will be your domain and also what you plug in for x because it fits on the graph.

so your equation for all of these would be this:

f(x)=5.25 (x)

so

f(3)=5.25 (3)
15.75

f(6)=5.25 (6)
31.5

f(9)=5.25 (9)
47.25

f(12)=5.25 (12)
63

f(15)=5.25 (15)
3.75

Answer 2

`D=[0,\infty )`
`R=[0,\infty )`

Explanation:

The Shabelle river increased 5.25'' for hour according to this rule:

`y=5.25x`

This is a linear and continuous function.

The Domain is the set of hours in which the increase in water has been observed. So we'll exclude negative values for there is not negative hours. As the study on Shabelle river may go on, then we can say for the Domain:
`D=[0,\infty )`

The Range is the set of inches the Shabelle River has increased. Since we don't have the initial level. If we plug in 0 for y=5.25(0) ⇒We'll have y=0 Then
`R=[0,\infty )`