nsider the following function. (If an answer does not exist, enter DNE.) (x) = e-x2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) y = (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is decreasing. (Enter your answer using interval notation.) (c) Find the local maximum and minimum values. local maximum value local minimum value (d) Find the interval where the function is concave up. (Enter your answer using interval notation.) Find the interval where the function is concave down. (Enter your answer using interval notation.) Find the inflection point. - ([ - ([ (x, y) (smaller x-value) (х, у) %3D (larger x-value) (e) Use the information from parts (a)-(d) to sketch the graph of f. y 1.4 1.2 0.8 1.0 0.6 9.6 0.6 0.4 0.4 0.2 0.2 0.2 O-3 -2 -1 1 2 O-2 -1 y 1.0f 1.4 12 0.8 1.0 0.6 0.8 0.6 0.4 0.4 0.2 0.2 O-3 -2 -1 1 2. 3 O-2 -1 2
nsider the following function. (If an answer does not exist, enter DNE.) (x) = e-x2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) y = (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is decreasing. (Enter your answer using interval notation.) (c) Find the local maximum and minimum values. local maximum value local minimum value (d) Find the interval where the function is concave up. (Enter your answer using interval notation.) Find the interval where the function is concave down. (Enter your answer using interval notation.) Find the inflection point. - ([ - ([ (x, y) (smaller x-value) (х, у) %3D (larger x-value) (e) Use the information from parts (a)-(d) to sketch the graph of f. y 1.4 1.2 0.8 1.0 0.6 9.6 0.6 0.4 0.4 0.2 0.2 0.2 O-3 -2 -1 1 2 O-2 -1 y 1.0f 1.4 12 0.8 1.0 0.6 0.8 0.6 0.4 0.4 0.2 0.2 O-3 -2 -1 1 2. 3 O-2 -1 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:nsider the following function. (If an answer does not exist, enter DNE.)
(x) = e~x?
(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)
Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)
y =
(b) Find the interval where the function is increasing. (Enter your answer using interval notation.)
Find the interval where the function is decreasing. (Enter your answer using interval notation.)
(c) Find the local maximum and minimum values.
local maximum value
local minimum value
(d) Find the interval where the function is concave up. (Enter your answer using interval notation.)
Find the interval where the function is concave down. (Enter your answer using interval notation.)
Find the inflection point.
(х, у) -
(smaller x-value)
(x, y) =
(larger x-value)
(e) Use the information from parts (a)-(d) to sketch the graph of f.
y
1.4
1.2
0.8
1.0
0.6
9.6
0.4
0.4
0.2
.2
0.2
O-3
-2
-1
2
3
-2
-1
y
1.0
1.4
12
0.8
1.0
0.6
0.8
0.6
0.4
0.4
0.2
0.2
O-3
-2
-1
1
3
O-2
-1
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