Use the function f(x) = 15x¹6 — 16x¹5 to answer the following questions (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 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 9 9

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
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Use the function f(x) = 15x¹6 - 16x¹5 to answer the following questions.
(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
x = (
9
)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
Transcribed Image Text:Use the function f(x) = 15x¹6 - 16x¹5 to answer the following questions. (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 x = ( 9 )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
)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 = (
x = (
2
X =
)U(
X =
9
(e) Find the x-coordinate(s) of any/all inflection point(s).
Number of inflection points: 2
f(x) has inflection points
at x-coordinates
9
Transcribed Image Text:)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 = ( x = ( 2 X = )U( X = 9 (e) Find the x-coordinate(s) of any/all inflection point(s). Number of inflection points: 2 f(x) has inflection points at x-coordinates 9
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