What is the end behavior of a function that is a fraction whose polynomial numerator has a power degree than its polynomial denominator

End behavior of a polynomial function is based on the degree of the function and the sign of the leading coefficient.  

Sign of the Leading Coefficient determines behavior of right side:

Degree of the function determines the behavior of the left side:

If you have an expression in the denominator, then you must divide the denominator into the numerator. The result will have a degree and a leading coefficient.  Use the rules stated above to determine the end behavior.

For example:

y =

We can factor to get: y =

                                   y = x + 3

Leading Coefficient of y = x + 3 is positive so right side goes to positive infinity.

Degree of  y = x + 3 is odd so left side is opposite direction of right side, which means left side goes to negative infinity.

The denominator may not divide evenly into the numerator thus leaving a remainder, but that is ok.  We can still use the rules stated above.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: