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.

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

because i took test