Consider the function. x³ + 12 f(x) = X Determine the intervals on which f is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Øif the interval is empty. Express numbers exact form. Use symbolic notation and fractions where needed. Enter DNE if no such intervals exists.) f is increasing on: fis decreasing on: fis concave up on: fis concave down on: Identify the asymptotes of f. (Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such asymptote exists.) vertical asymptote(s): horizontal asymptote(s): Use the graphing utility to graph f. f(x) = y -6 18- 12 9 -6 3. 0 -3 --6 -9 -12 -15 +1 A desmos

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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Question
Consider the function.
x³ + 12
f(x) =
X
Determine the intervals on which f is increasing, decreasing, concave up, and concave down.
(Give your answer as an interval in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate
type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Øif the interval is empty. Express
numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such intervals exists.)
f is increasing on:
f is decreasing on:
fis concave up on:
fis concave down on:
Identify the asymptotes of f.
(Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions
f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such
where needed. Let y =
asymptote exists.)
vertical asymptote(s):
horizontal asymptote(s):
Use the graphing utility to graph f.
f(x) =
-6
-3
18-
12
9
-6
b
3
0
ડે છે . .
+1
A
X
desmos
Transcribed Image Text:Consider the function. x³ + 12 f(x) = X Determine the intervals on which f is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Øif the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such intervals exists.) f is increasing on: f is decreasing on: fis concave up on: fis concave down on: Identify the asymptotes of f. (Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such where needed. Let y = asymptote exists.) vertical asymptote(s): horizontal asymptote(s): Use the graphing utility to graph f. f(x) = -6 -3 18- 12 9 -6 b 3 0 ડે છે . . +1 A X desmos
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