Answered: For the function below, find a) the…

For the function below, find a) the critical numbers; b) the open intervals where the function is increasing, and c) the open intervals where it is decreasing. f(x) = 8x - 66x2 -72x+7

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

See similar textbooks

Related questions

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) =…

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = -2x4…

A: ƒ(x) = -2x4 + x2 + 10 We need to Find the intervals on which ƒ is increasing and the interval on…

Q: find the absolute maximum and absolute minimum values of function, if they exist, over the indicated…

A: The given function and indicated interval is

Q: For f (x) = 3x2 – 4x + 2, (a) find the absolute maximum and minimum on [-2,2] using Calculus %3D

A: The points of local minimum and local maximum can be obtained by differentiating the function and…

Q: Find the open intervals where f is increasing or decreasing. ƒ(x) = 4x3 + 3x2 - 18x + 5

A: Consider: fx=4x3+3x2-18x+5. Evaluate the interval where function is increasing or decreasing. A…

Q: Find the range and domain of the function, f(x,y) = sqaure root of (36-x2-y2)

A: Given function is f(x,y)=36-x2-y2We have to find the domain and range of…

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: Given: f(x)=9x23, -1, 1 Find the absolute maximum and absolute minimum value of the function.…

Q: Find the intervals of concavity and the inflection points for g(x)=x^4-54x^2+12x-4

Q: Given the function f(x) = x³ – 3x² + 3x – 10, determine the absolute maximum value of f on the…

A: We have to find absolute value

Q: For the real-valued functions g(x)= x+4 and h(x)=2x-9, find the composition goh and specify its…

Q: Find the open intervals where ƒ is increasing or decreasing.

A: To find the open intervals where ƒ is increasing or decreasing. Given that the function is…

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an f(x)…

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

A: It is given that the function f is defined in -1,0fx=2x3-x2-4x+4.Find the minimum and maximum value…

Q: List the intervals of increasing and decreasing for f(x)=10x²–37x +189. List all local maximums and…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) : =…

A: We first find f'(x). f(x)=7x2-8xf'(x)=14x-8

Q: consider the function f(x) = -x/(8x^2 +1), where 0 ≤ x ≤ 2 What’s the absolute maximum value equal…

A: Given data: The given function is f(x)=-x/(8x^2 +1). The given limits of x are [0, 2]. The…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: fx=x44-8x33+15x22+8 Differentiating with respect to x, we get f'x=4x34-8·3x23+15·2x2+0=x3-8x2+15x…

Q: 6. Find the (a) intervals of increase and decrease, (b) the intervals of concavity, and (c) the…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Solve the following

Q: Find the absolute minimum and absolute maximum of f(x)= – 2x³ – 6x² + 18x – 1 on the interval [ –…

A: We first find the critical values by solving…

Q: Find the open intervals on which the function f(x)=-3x2+4x+5 is increasing or decreasing.

Q: 3. Find the domain of g(x) = v16-x² and h(x) = Vx² – 16. Express your answer using interval…

Q: Find the absolute minimum and absolute maximum values of f on the interval below. f(x) = x4 - 8x2 +…

A: First we find the value of the function at the critical point and then at the corner points Then we…

Q: Given the function and the interval f (x) = 3x* - 4x3 + 12x2 + 1, [-2,3], find the absolute maximum…

Q: Find all intervals where the graph of f(x)= x3-18x2+10 is concaved downward, intervals where it is…

A: When f''>0 then function cancave upward when f''<0 then function cancave downward when…

Q: What is the maximum value of f(x) = x³ - 3x² - 1 on the interval [-3, 2]? A) -1 в) 5 C) 0 D) 2

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) =…

A: Critical point X= 3/5

Q: Given the function f (x) value of f on the closed interval [-2,4]. -x° + 3x2 – 9, determine the…

A: We have to find absolute minimum valu

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) =…

A: To Determine: Find the critical numbers of the function. (Enter your answers as a comma-separated…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) =…

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

Q: Determine the open intervals on which the graph of f(x) = 8x -7x+8 is concave downward or concave…

A: Given that f(x)=8x2-7x+8 find the interval on which f(x) is concave up and concave down

Q: function

A: Second Derivative Test for Local Extrema:- The second derivative may be used to determine local…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) =…

Q: Find the open interval(s) on which f(x) = - 5x+ 50x +8 is increasing or decreasing.

A: Given that:

Q: Given the function f(x) = x³ + 3x² + 3 - 4, determine the absolute maximum value of f on the closed…

Q: 2. For f(x) = 4x² - 16x- 16 find all intervals where f is concave up and concave down and find…

A: Given, fx =4x2 -16x -16 We have to find the invtervals in which f is concave up and concave down and…

Q: Consider f(x)=x³-6x²+9x+3 defined on the closed interval At which value of x does the absolute…

Q: Find the open intervals where f is increasing or decreasing.ƒ(x)=20 - 2x - x2

A: Consider the given function fx=20-2x-x2. Obtain the derivative of the given function as follows.…

Q: Given the function f(x) = x - 8a2 - 2, determine the absolute maximum value of f on the closed…

A: Given function is : fx=x4-8x2-2 Differentiating function with respect to x ,…

Q: Given the function f(x) = -x² +6x+2, discuss its relative maximum and minimum points, the intervals…

Q: Find the critical points, domain endpoints, and local extreme values for the function. -x² - 6x +5,…

Q: Given the function f (x) = 10 + 5x³ – 3x³, identify the interval(s) where the function is concave…

A: Given: f(x) = 10 + 5x3 - 3x5

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: Use second derivative for find the increasing interval and decreasing interval.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) =…

A: Given function is

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Starting from the left, we see that the curve goes downwards from -∞ to -1, so the function is…

Question

For the function below, find a) the critical
numbers; b) the open intervals where the
function is increasing, and c) the open
intervals where it is decreasing.
f(x) = 8x-66x2 – 72x +7

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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 decreases on the interval -,x1 and increases on the interval x1,, then fx1 is a local maximum value.
If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?
What is the purpose of the Intermediate Value Theorem?
For the following exercises, use the graphs to determine the intervals on which the functions are increasing, decreasing, or constant. 30. Find the local minimum of the function graphed in Exercise 27.