What are the equations of the asymptotes of the rational function? explain. f(x)= a. x=-7 and y=6 b. x=5 and y=6 c. x=7 and y=-6

to get the vertical asymptotes, we simply zero out the denominator and see what's the equation so let's do so

x + 7 = 0............. x = -7....... that's the vertical asymptote.

to get the horizontal asymptotes, there are 3 cases

if the denominator's degree is higher, or lower or the exactly the same as the degree of the numerator.

well, notice the rational, the degree of the numerator is just 1, 6x¹, and the degree of the denominator is also 1, 1x¹.

when that occurs, the horizontal asymptote occurrs at the fraction of their leading term coefficients.

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: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction