Name:
SUMMER II, 2015
MATH 142:202
QUIZ - 09
• Take home quiz. Due at the beginning of our class on July 28.
• Read each question carefully, answer each question completely, box your answers.
• Show all of your work; no credit will be given for unsupported answers.
1. (2.5 points each) Find the horizontal asymptote of the function. Give your answer as an equation of
a line. If an answer does not exist, write DNE.
a.
x4 + 7
y= 4
3x + 8x2 + 10
b.
y=
7x4 + 8
8x2 + 1
2. Consider the following function
f (x) = e−2x (x + 1).
a. (2 points) Find the intervals of increase or decrease.
b. (2 points) Find the intervals of concavity.
c. (1 point) Find the point of inflection.