If f(x) = mx + b, then for constants m 0 and b (the case m
Question:
If f(x) = mx + b, then for constants m ≠ 0 and b (the case m = 0). For a given ε > 0, let δ = ε/|m|.) Explain why this result implies that linear functions are continuous.
Transcribed Image Text:
— та + b lim f(x)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (12 reviews)
First note that if m 0 So assume m 0 Let 0 be given Let m Now if 0 x...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
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Consider the line f(x) = mx + b, where m and b are constants. Show that f'(x) = m for all x. Interpret this result.
-
Movie Ticket Prices. The average price of a movie ticket has increased linearly over the years, rising from $5.39 in 2000 to $7.89 in 2010 (National Association of Theatre Owners). Using these two...
-
Assume that f exists and f(x) = 0 for all x. Prove that f (x) = mx + b, where m = f(0) and b = f (0).
-
How could not having a strategy hurt a brand on social media? What are some content ideas for those who are at the "Awareness" stage of the sales funnel? What does it mean to A/B test on a social...
-
How can the profit margin and asset turnover ratios be used to help explain the return on assets?
-
Six years ago, Ms. PL paid $20 per share for 1,000 shares of her employer's stock. This stock is now worth $58 per share. Ms. PL wants to exercise a stock option to buy 1,000 more shares at a strike...
-
A random sample of size n = 225 yielded a = .46. a. Is the sample size large enough to use the methods of this section to construct a confidence interval for p? Explain. b. Construct a 95% confidence...
-
Excel Memory Company can sell all units of computer memory X and Y that it can produce, but it has limited production capacity. It can produce two units of X per hour or three units of Y per hour,...
-
What is the future value of $480 per year for 10 years compounded annually at 9 percent?
-
Following are several transactions involving a university. 1. In the current fiscal year, the university was notified by the federal government that next fiscal year it would receive a $500,000 grant...
-
Give proofs of the following theorems. a. for any constant c. b. for any constant a. | lim c = c lim x = a
-
Use the precise definition of infinite limits to prove the following limits. lim x4 (x - 4)? ||
-
Determine the different possibilities for the numbers of positive, negative, and nonreal complex zeros of each function. (x) = 2x 3 - 4x 2 + 2x + 7
-
Consider a system consisting of a colloidal particle of radius and charge Q-+20e (e is the charge of an electron) stationary in the center of a spherical cavity of radius R=5. Its counterions have...
-
Use the Empirical Rule to determine the percentage of candies with weights between 0.7 and 0.98 gram. Hint: x=0.84.
-
A sample of 16 items provides a sample standard deviation of 9.5. Test the following hypotheses using a = .05. Ho: 0250 2 Ha > 50 a. Calculate the value of the test statistic (to 2 decimals). 27.08...
-
During May, Darling Company incurred factory overhead costs as follows: indirect materials, $1,170; indirect labor, $2,000; utilities cost, $1,270; and factory depreciation, $5,850. Journalize the...
-
Practice 1 Let f(0) = cos(0). For each interval in the table below, determine the characteristics of f(e) Positive or negative Increasing or decreasing Concave up or concave down Let g(0) = 00
-
List and briefly discuss the four techniques used to control labor as part of aggregate planning in the service industry.
-
For the following exercises, rewrite the sum as a product of two functions or the product as a sum of two functions. Give your answer in terms of sines and cosines. Then evaluate the final answer...
-
Find the critical numbers of the function. f (x) = 4 + 1/3 x - 1/2x 2
-
Find the critical numbers of the function. f (x) = x 3 + 6x 2 - 15x
-
Find the critical numbers of the function. g() = 4 - tan
-
WISE-HOLLAND CORPORATION On June 15, 2013, Marianne Wise and Dory Holland came to your office for an initial meeting. The primary purpose of the meeting was to discuss Wise-Holland Corporation's tax...
-
Stock in ABC has a beta of 0.9. The market risk premium is 8%, and T-bills are currently yielding 5%. The company's most recent dividend is $1.60 per share, and dividends are expected to grow at a 6%...
-
Sweeten Company had no jobs in progress at the beginning of March and no beginning inventories. The company has two manufacturing departments --Molding and Fabrication. It started, completed, and...
Study smarter with the SolutionInn App