What are the vertical and horizontal asymptotes of y = (x + 1)/(x^2 + 3x + 2)? What are the points of discontinuity and are they removable or non-removable? What are the x- and y-intercepts? What is the domain? SHOW ALL YOUR WORK HERE OR YOU WON'T GET CREDIT!

Asymptotes are the points where the function tends to a given value, and the discontinuities are the points where the denominator is zero.

The function is:

The discontinuitys are when x^2 + 3x + 2 = 0

So we need to find the roots of that quadratic equation, and those are:

The number inside the square root, the determinant, is smaller than zero, this means that the roots are imaginary, so there is no real number x such that the denominator is equal to zero, so we do not have any discontinuity in this equation.

Now, we may have asymptotes as x goes to infinity and -infinity.

Because grade of the polynomial in the denominator is bigger than the one in the numerator, as x goes to infinity, the function will go asymptotically to +0, and as x goes to minus infinity, the function will trend asymptotically to -0

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: