A fixed point of a function f is a number in its domain such that f(c) =
Question:
(a) Sketch the graph of a continuous function with domain [0, 1] whose range also lies in [0, 1]. Locate a fixed point of f.
(b) Try to draw the graph of a continuous function with domain [0, 1] and range in [0, 1] that does not have a fixed point. What is the obstacle?
(c) Use the Intermediate Value Theorem to prove that any continuous function with domain [0, 1] and range a subset of [0, 1] must have a fixed point.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (14 reviews)
a Here are a few possibilities KA X y x Lonest b The obstacle is the line x y see di...View the full answer
Answered By
Aysha Ali
my name is ayesha ali. i have done my matriculation in science topics with a+ . then i got admission in the field of computer science and technology in punjab college, lahore. i have passed my final examination of college with a+ also. after that, i got admission in the biggest university of pakistan which is university of the punjab. i am studying business and information technology in my university. i always stand first in my class. i am very brilliant client. my experts always appreciate my work. my projects are very popular in my university because i always complete my work with extreme devotion. i have a great knowledge about all major science topics. science topics always remain my favorite topics. i am also a home expert. i teach many clients at my home ranging from pre-school level to university level. my clients always show excellent result. i am expert in writing essays, reports, speeches, researches and all type of projects. i also have a vast knowledge about business, marketing, cost accounting and finance. i am also expert in making presentations on powerpoint and microsoft word. if you need any sort of help in any topic, please dont hesitate to consult with me. i will provide you the best work at a very reasonable price. i am quality oriented and i have 5 year experience in the following field.
matriculation in science topics; inter in computer science; bachelors in business and information technology
_embed src=http://www.clocklink.com/clocks/0018-orange.swf?timezone=usa_albany& width=200 height=200 wmode=transparent type=application/x-shockwave-flash_
4.40+
11+ Reviews
14+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
Use the Intermediate Value Theorem to prove that x3 + 3x - 2 = 0 has a real solution between 0 and 1.
-
Use the Intermediate Value Theorem to prove that (cos t)t3 + 6 sin5 t - 3 = 0 has a real solution between 0 and 2.
-
Use the intermediate Value Theorem to prove that the equation x5 - 4x3 - 3x + 1 = 0 has at least one solution between x = 2 and x = 3.
-
i) Starbucks launched its prepaid (debit) Starbucks Card in November 2001. The card, which holds between $5 and $500 can be used at any Starbucks location. Suppose Starbucks management wants to study...
-
Study the life of one of the Abraham from Courageous Faith. You will seek to discover what can be learned from the character when you purposefully study his or her life using the technique of...
-
Find the time required for the light to pass through the glass block described in Problem 19.
-
Materiality. Materiality should be considered by the auditor when (a) determining the nature, timing and extent of audit procedures and (b) evaluating the effect of misstatements. Required A. Define...
-
A job order cost sheet for Ryan Company is shown below. Instructions (a) On the basis of the foregoing data, answer the following questions. (1) What was the balance in Work in Process Inventory on...
-
Zhao Company has fixed costs of $ 3 5 4 , 0 0 0 . Its single product sells for $ 1 7 5 per unit, and variable costs are $ 1 1 6 per unit. If the company expects sales of 1 0 , 0 0 0 units, compute...
-
Peachtree Delivery Service is owned and operated by Jerome Foley. The following selected transactions were completed by Peachtree Delivery Service during February: 1. Received cash from owner as...
-
Find all values of a such that f is continuous on R:
-
If lim x a [f(x) + g(x)] = 2 and lim x a [f(x) g(x)] = 1, find lim x a f(x)g(x).
-
How is lim xa f(x) calculated if f is a polynomial function?
-
A contingency plan for Amazon Inc that outlines what steps can be taken to address unforeseen changes to internal or external environments over the coming three years for Amazon. Add references.
-
you will be asked to choose an organization related to the group you attended in your first assignment. For example, if you attended an AA meeting, a related organization might be an institution...
-
What is the output of the following Python statements? word = "Hello World" word=word.replace("Hello", "Salam Aleykoum") word = word.swapcase() print(word.count("O"))
-
1. Define design thinking and explain its six phases. How do you embrace design and innovation-centric culture in totalenergies? 2. List the five phases of growth in small business. List three key...
-
The work spindle of a lathe will be slowed down by a disc brake. The coefficient of friction at the brake pad is m= 0.25 and the normal force is FN = 16 kN. Which is of the following values for the...
-
Cheatham and Howe is a law firm that is initiating an activity-based costing sys- tem. Jim Cheatham, the senior partner and strong supporter of ABC, has prepared the following list of activities...
-
The population of Detroit, Michigan, decreased from 1,027,974 in 1990 to 688,701 in 2013 (Source: U.S. Census Bureau). Find the average rate of change in the population of Detroit, Michigan, over the...
-
An individual white LED (light-emitting diode) has an efficiency of 20% and uses 1.0 W of electric power. How many LEDs must be combined into one light source to give a total of 1.6 W of...
-
Find the functions (a) f g, (b) gf, (c) ff, and (d) gg and their domains. f(x) = sin x, g(x) = x 2 + 1
-
Find the domain of the function. u + 1 f(u) = u + 1
-
The table gives the population of the United States, in millions, for the years 1900-2010. Use a graphing calculator with exponential regression capability to model the US population since 1900. Use...
-
Depreciation Methods at Google Values: Asset Cost: $1,000,000 Useful Life: 5 years Salvage Value: $100,000 Requirements: Apply the conservatism principle to determine asset impairment. Calculate...
-
Consider the following data for Amazon: Selling price per unit: $50 Variable cost per unit: $30 Fixed costs: $200,000 i) Calculate the contribution margin per unit. ii) Determine the break-even point...
-
Sophia was recruited to serve as the Chief Human Resources Officer (CHRO) of Epsilon Corporation, a privately-held company in the automotive industry, effective June 1, 2022. Throughout the fiscal...
Study smarter with the SolutionInn App