Consider the equation below. (If an answer does not exist, enter DNE.)f(x) = x³3x²9x + 7(a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.)(-∞, -1) U (3,00)Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)(-1,3)(b) Find the local minimum and maximum values of f.local minimum valuelocal maximum value(c) Find the inflection point.(x, y) =Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)Find the interval(s) on which fis concave down. (Enter your answer using interval notation.)

Answered: Image /qna-images/answer/500a985e-9f3a-4170-a34f-fe0021b37554.jpg

Answered: nsider the equation below. (If an…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.4: Factoring Polynomials

Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...

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The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.
Find f(1) and f(2). f(x)=xx1
Consider the following. (If an answer does not exist, enter DNE.) h(x) = 5x3 - 3x5 (a) Find the interval(s) of increase. (Enter your answer using interval notation.) (-1,0).(0,1) v Find the interval(s) of decrease. (Enter your answer using interval notation.) |(-0, – 1).(1,00) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) -2 Find the local maximum value(s). (Enter your answers as a comma-separated list.) 2 (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) oʻo ) -7/2 V2 (x, y) = ( 0,0 1 (х, у) %3 7/2 (x, Y) = 8 Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4- 8x2 + 3 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (-2,0),(2,00) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-00, - 2]U[0,2] | (b) Find the local minimum and maximum values of f. local minimum value -16 local maximum value 8. (c) Find the inflection points. (x, y) = -13 (smaller x-value) (х, у) %3D 3. (larger x-value) Find the interval on which fis concave up. (Enter your answer using interval notation.) Find the interval on which fis concave down.(Enter your answer using interval notation.)
Consider the equation below. (If an answer does not exist, enter DNE.) fx) %3D х3 - 3x2 - 9х + 7 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) - 1)u(3,00) Your answer cannot be understood or graded. More Information Find the interval on which f is decreasing. (Enter your answer using interval notation.) |(-1,3) (b) Find the local minimum and maximum values of f. local minimum value 12 local maximum value -20 (c) Find the inflection point. -( (1,–4) (х, у) %3D
Let f(x) = - 4x + 6. Find the indicated expression. f(- x)
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 − 20x^3 + 2 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. (x, y) =
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 - 9x2 – 21x + 2 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (7,00),(-0, – 1), Your answer cannot be understood or graded. More Information Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-1,7) (b) Find the local minimum and maximum values of f. local minimum value -243 local maximum value 13 (c) Find the inflection point. (x, y) = ( 3 Find the interval on which f is concave up. (Enter your answer using interval notation.) (3,0) Find the interval on which f is concave down. (Enter your answer using interval notation.) (-0,3)
Evaluate the function h(x) = x² + 5x² − 4 at the given values of the independent variable and simplify. a. h(-2) b.h(-1) c. h(-x) d. h(3a) a. h(-2) = (Simplify your answer.)
Let f(x) = 4x + 3 and g(x) = 7x − 6. Find the function. f/g (f/g)(x) = Find the domain. (Enter your answer using interval notation.)
Let F(x) = x2 - 9 and G(x) = 18 – x. Find (F - G)(- 4). (F- G)(- 4) = (Simplify your answer. Type an integer or a fraction.)
Find the x-intercepts and y-intercept of the following function. f(x)=(x−1)(x+1)(x+2) a) x-intercepts: (2,0), (1,0), and (−1,0). y-intercept: (0,2) b) x-intercepts: (−2,0), (−1,0), and (1,0). y-intercept: (0,2) c) x-intercepts: (−2,0), (−1,0), and (1,0). y-intercept: (0,−2) d) x-intercepts: (2,0), (1,0), and (−1,0). y-intercept: (0,−2)

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