Write a polynomial in standard form that represents the area of the shaded region.
1 answer:
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Answer:
The proportional table in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
<em>Verify each table</em>
Find the value of the constant of proportionality k for each ordered pair of a table.
If all the values of k are the same, then the table represent a proportional relationship between x and y
Table 1
For x=1, y=2 ---->
For x=2, y=4 ---->
For x=3, y=8 ---->
The values of k are not equal
so
This table not represent a proportional relationship between x and y
Table 2
For x=0, y=4
The line not passes through the origin
so
This table not represent a proportional relationship between x and y
Table 3
For x=0, y=0 ----> is OK the line passes though the origin
For x=1, y=1 ---->
For x=2, y=4 ---->
The values of k are not equal
so
This table not represent a proportional relationship between x and y
Table 4
For x=1, y=4 ---->
For x=2, y=8 ---->
For x=3, y=12 ---->
The values of k are the same
so
This table represent a proportional relationship between x and y
<h2>Hello!</h2>
The answer is: [-2,2]
<h2>Why?</h2>The range of a function shows where the function can exist in the y-axis.
To know the range of the function, we have to isolate x,
So
The only possible values that y can take go from -2 to 2. Taking values out of these values will give as result a non-real number.
Therefore,
The range of the function is [-2,2]
Have a nice day!