Explanation:
The function is given below as

The set of domains is given below as

Step 1:
Put x=-1

Step 2:
Put x=0

Step 3:
Put x=1

Step 4:
Put x=2

Hence,
The range of g(x) using set notation will be

Hence,
The graph of g(x) is given below as
The equation would be 63500-700x=P, where 63500 is the original population, -700 is the amount the population decreases each year, x is the number of years, and P is the total population.
To answer the second part of the question, plug in 53000 for P and solve for x:
63500-700x=53000
<em>*Subtract 63500 from both sides*</em>
-700x=-10500
<em>*Divide both sides by -700*</em>
x=15
It would take 15 years for the population to drop to 53000.
Hope this helps!!
Umm can you be more specific on your question so I can help you need to explain what you need help on
The common rule is (x - 1, y + 3) can be used to describe the translation.
Step-by-step explanation:
Step 1:
The point J (-3, -4) becomes
(-4, -1).
In order to write the rule for translation from J to
, we subtract the x coordinate of J from
and subtract the y coordinate of J from
.
The x coordinate 
The y coordinate 
Step 2:
So from the calculations, we get that the x coordinate is subtracted by 1 i.e.
and the y coordinate is increased by 3 i.e.
.
So the common rule is (x - 1, y + 3).