Consider the following curve. RO) = Determine the domain of the curve. (Enter your answer using interval notation.) |(-x,0) U (0,00) Find the intercepts. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) DNE y-intercept x-intercept 3 Determine the symmetry of the graph. (Select all that apply.) symmetric with respect to the x-axis symmetric with respect to the y-axis symmetric with respect to the origin no apparent symmetry Find y'(x). 6-x y'(x) = Find y "(x). 2x – 18 y "Cx) = Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) y =0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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What is he local minumum value

Consider the following curve.
f(x) =
Determine the domain of the curve. (Enter your answer using interval notation.)
(-8,0) ㄷ (0,00)
Find the intercepts. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
y-intercept
DNE
x-intercept
Determine the symmetry of the graph. (Select all that apply.)
O symmetric with respect to the x-axis
O symmetric with respect to the y-axis
O symmetric with respect to the origin
V no apparent symmetry
Find y '(x).
6 - x
y'(x) =3
Find y "(x).
2х — 18
y "(x) =
Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
|(0,6)
Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.)
(-00,0) U (6,0)
Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)
(9,00)
Find the interval(s) on which fis concave down. (Enter your answer using interval notation.)
-0,0) U (0,9)
Find the local minimum and maximum values of f. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
local minimum values
6
1
local maximum values
12
Sketch the curve.
f(x)
f(x)
f(x)
f(x)
0.6
-15 10
-5
10
15
0.4
-15
-10
-5
10
15
-15
-10
-5
10
15
0.05
-0.2
0.2
-0.10
-0.4
-04
15
-10
-5
10
15
-0.2
0.6
-이151
-0,6
-0.4
-p.8
-020
-08
-이6
-0.25
Transcribed Image Text:Consider the following curve. f(x) = Determine the domain of the curve. (Enter your answer using interval notation.) (-8,0) ㄷ (0,00) Find the intercepts. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) y-intercept DNE x-intercept Determine the symmetry of the graph. (Select all that apply.) O symmetric with respect to the x-axis O symmetric with respect to the y-axis O symmetric with respect to the origin V no apparent symmetry Find y '(x). 6 - x y'(x) =3 Find y "(x). 2х — 18 y "(x) = Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) |(0,6) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) (-00,0) U (6,0) Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) (9,00) Find the interval(s) on which fis concave down. (Enter your answer using interval notation.) -0,0) U (0,9) Find the local minimum and maximum values of f. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) local minimum values 6 1 local maximum values 12 Sketch the curve. f(x) f(x) f(x) f(x) 0.6 -15 10 -5 10 15 0.4 -15 -10 -5 10 15 -15 -10 -5 10 15 0.05 -0.2 0.2 -0.10 -0.4 -04 15 -10 -5 10 15 -0.2 0.6 -이151 -0,6 -0.4 -p.8 -020 -08 -이6 -0.25
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