2x Use the function f(x) x² + 5 (a) Find the interval(s) on which f(x) is increasing. Number of increasing intervals: 2 f(x) is increasing on = " to answer the following questions. x = ( )U( (b) Find the interval(s) on which f(x) is decreasing. Number of decreasing intervals: 2 f(x) is decreasing on 2 x =( )U( (c) Find the interval(s) on which f(x) is concave up. Number of concave up intervals: 2 f(x) is concave up on
2x Use the function f(x) x² + 5 (a) Find the interval(s) on which f(x) is increasing. Number of increasing intervals: 2 f(x) is increasing on = " to answer the following questions. x = ( )U( (b) Find the interval(s) on which f(x) is decreasing. Number of decreasing intervals: 2 f(x) is decreasing on 2 x =( )U( (c) Find the interval(s) on which f(x) is concave up. Number of concave up intervals: 2 f(x) is concave up on
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 11CYU
Related questions
Question
![2x
Use the function f(x)
x² + 5
(a) Find the interval(s) on which f(x) is increasing.
Number of increasing intervals: 2
f(x) is increasing on
x = (
)U(
(b) Find the interval(s) on which f(x) is decreasing.
Number of decreasing intervals: 2
f(x) is decreasing on
9
x = (
=
2
to answer the following questions.
x = (
)U(
(c) Find the interval(s) on which f(x) is concave up.
Number of concave up intervals: 2
f(x) is concave up on
JU(
9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F342015f0-19e8-40cd-98ef-dc8b52ff501d%2F7def97ea-cb5b-4e09-8f17-f58553b04294%2Ff3fw8lh_processed.png&w=3840&q=75)
Transcribed Image Text:2x
Use the function f(x)
x² + 5
(a) Find the interval(s) on which f(x) is increasing.
Number of increasing intervals: 2
f(x) is increasing on
x = (
)U(
(b) Find the interval(s) on which f(x) is decreasing.
Number of decreasing intervals: 2
f(x) is decreasing on
9
x = (
=
2
to answer the following questions.
x = (
)U(
(c) Find the interval(s) on which f(x) is concave up.
Number of concave up intervals: 2
f(x) is concave up on
JU(
9
![(c) Find the interval(s) on which f(x) is concave up.
Number of concave up intervals: 2
f(x) is concave up on
)U(
(d) Find the interval(s) on which f(x) is concave down.
Number of concave down intervals: 2
f(x) is concave down on
x = (
E
x = (
(e) Find the x-coordinate(s) of any/all inflection point(s).
Number of inflection points: 1
)U(
2
X =
f(x) has inflection points
at x-coordinates
9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F342015f0-19e8-40cd-98ef-dc8b52ff501d%2F7def97ea-cb5b-4e09-8f17-f58553b04294%2Fcvvwg5o_processed.png&w=3840&q=75)
Transcribed Image Text:(c) Find the interval(s) on which f(x) is concave up.
Number of concave up intervals: 2
f(x) is concave up on
)U(
(d) Find the interval(s) on which f(x) is concave down.
Number of concave down intervals: 2
f(x) is concave down on
x = (
E
x = (
(e) Find the x-coordinate(s) of any/all inflection point(s).
Number of inflection points: 1
)U(
2
X =
f(x) has inflection points
at x-coordinates
9
Expert Solution
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Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Write the given information
VIEWStep 2: Differentiate f(x) and find critical points as follows
VIEWStep 3: Putting values from the intervals to check increasing or decreasing of given function
VIEWStep 4: Again differentiate
VIEWStep 5: Putting values from the intervals into f''(x) to check concave up or down as follows
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