Consider the function f(x) = 9x + 5x. For this function there are four important intervals: (- 00, A, [A, B),(B, C), and [C, ) where A, and C are the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing or decreasing. (- 00, A): (Increasing (A, B): (Decreasing (B, C): (Decreasing (C, 0) (Increasing Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(x) is concave up or concave down. (- 00, B): (concave Down (B, ): (Concave Up 6. Question Help: DVideo MMessage instructor Add Work Submit Question

Consider the function f(x) = 9x + 5x. For this function there are four important intervals: (- 00, A, [A, B),(B, C), and [C, ) where A, and C are the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing or decreasing. (- 00, A): (Increasing (A, B): (Decreasing (B, C): (Decreasing (C, 0) (Increasing Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether f(x) is concave up or concave down. (- 00, B): (concave Down (B, ): (Concave Up 6. Question Help: DVideo MMessage instructor Add Work Submit Question

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

See similar textbooks

Similar questions

Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.
What is the purpose of the Intermediate Value Theorem?
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
Find the critical numbers of the function f(x) = 4x - tan x
Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. Letf(x)=64x4+243x3+−542x2−216xf(x)=64x4+243x3+−542x2−216x There are three critical points. If we call them c1,c2,c1,c2, and c3c3, with c1<c2<c3c1<c2<c3, thenc1c1 = c2c2 = and c3c3 = . Is ff a maximum or minumum at the critical points?At c1c1, ff is ? Local Max Local Min Neither At c2c2, ff is ? Local Max Local Min Neither At c3c3, ff is ? Local Max Local Min Neither These three critical give us four intervals.The left-most interval is , and on this interval ff is ? Increasing Decreasing while f′f′ is ? Positive Negative .The next interval (going left to right) is . On this interval ff is ? Increasing Decreasing while f′f′ is ? Positive Negative .Next is the interval . On this interval ff is ? Increasing…
Find the critical points and the intervals on which the function y = x4 + x3 is increasing or decreasing. Use the First Derivative Test to determine whether the critical point yields a local min or max ( or neither).