Consider the following function. (If an answer does not exist, enter DNE.) 3x (x) x + 6 (a) Find the intervals where the function / is increasing and where it is decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Find the relative extrema of f. relative maximum (x, y) - relative minimum (х, у) - (c) Find the intervals where the graph of f is concave upward and where it is concave downward. (Enter your answers using interval notation.) concave upward concave downward (d) Find the inflection points, if any, of f. (х, у) -

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 19PPS
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Consider the following function. (If an answer does not exist, enter DNE.)
3x
(x)
x + 6
(a) Find the intervals where the function / is increasing and where it is decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(b) Find the relative extrema of f.
relative maximum
(x, y) -
relative minimum
(х, у) -
(c) Find the intervals where the graph of f is concave upward and where it is concave downward. (Enter your answers using interval notation.)
concave upward
concave downward
(d) Find the inflection points, if any, of f.
(х, у) -
Transcribed Image Text:Consider the following function. (If an answer does not exist, enter DNE.) 3x (x) x + 6 (a) Find the intervals where the function / is increasing and where it is decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Find the relative extrema of f. relative maximum (x, y) - relative minimum (х, у) - (c) Find the intervals where the graph of f is concave upward and where it is concave downward. (Enter your answers using interval notation.) concave upward concave downward (d) Find the inflection points, if any, of f. (х, у) -
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