f(x) = e-x2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) x = DNE Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) y = 0 (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) n<0 Find the interval where the function is decreasing. (Enter your answer using interval notation.) n>0 (c) Find the local maximum and minimum values. local maximum value 1 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) (x, y) = (larger x-value) ]) -

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.1: Rational Functions And Asymptotes
Problem 5ECP: A business has a cost function of C=0.4x+8000, where C is measured in dollars and x is the number of...
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f(x) = e-x2
(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)
x = DNE
Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)
y = 0
(b) Find the interval where the function is increasing. (Enter your answer using interval notation.)
n<0
Find the interval where the function is decreasing. (Enter your answer using interval notation.)
n>0
(c) Find the local maximum and minimum values.
local maximum value
1
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) %3
(larger x-value)
Transcribed Image Text:f(x) = e-x2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) x = DNE Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) y = 0 (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) n<0 Find the interval where the function is decreasing. (Enter your answer using interval notation.) n>0 (c) Find the local maximum and minimum values. local maximum value 1 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) %3 (larger x-value)
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