MATCH ALL THE ITEMS CORRECTLY!15 - A True/FalseIndicate whether the statement is true or false.16. A limit exists if both the right-hand and left-hand limits are equal.17. A jump discontinuity occurs when a function jumps over the x-axis.18. A vertical asymptote can be found by solving the numerator equal to zero in a rational function.19. A piecewise function always has a jump discontinuity.20. Functions that have an indeterminate form when evaluating a limit can always be simplified by factoring.

Answered: Image /qna-images/answer/877e5b3f-d1ef-4cb8-b6c7-97af468d6c6e.jpg

Answered: 16. A limit exists if both the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 7E

See similar textbooks

Similar questions

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?
1.The definition of the slope of the tangent line to the graph of a function ? stems out from the slope of a secant line. What is the formula for finding the slope of a tangent line to the graph of a function ? at the point (?0,?(?0))? Explain how you come up with the formula. 2.What number is associated with a line so that instead of looking for a limiting position, you would be looking for a limit of an algebraic expression? How is your answer related to the derivative of the function?
limit as x→−∞ 4/(e^x+7)=0 Enter the left-hand asymptote: y=
Hello! I'm trying to graph the limit as x approaches -3 for (x^2+3x)/(x^2-x-12). I understand how to solve the problem and I got the right answer, 3/7, but I dont understand how to graph it without using a calculator. How do I tell what shape the graph needs to be? Also, My professor mentioned in class that there would be a hole in the graph at -3, because x+3=0 was canceled, but I don't understand why that would make a hole in the graph. Thank you for the help!
Let ƒ(x) = (3^x - 1)/x. a. Make tables of values of ƒ at values of x that approach c = 0 from above and below. Does ƒ appear to have a limit as x --> 0? If so, what is it? If not, why not? b. Support your conclusions in part (a) by graphing ƒ near c = 0.
You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as parents of newborn babies or night-shift workers) record the number of minutes they sleep each night and take a series of motor performance assessments, with 1 minute being the smallest unit on the scale. Suppose the first subject sleeps 180 minutes. Determine the real limits of 180. The lower real limit is: The upper real limit is: When measuring weight on a scale that is accurate to the nearest 0.2 pound, what are the real limits for the weight of 120 pounds? 119.9–120.1 120–121 119.75–120.25 When measuring weight on a scale that is accurate to the nearest 0.1 pound, what are the real limits for the weight of 187 pounds? 186.95–187.05 186.75–187.25 187–188
True of False: If lim f(x) = 100 x--> infinity, then we can find values of f(x) between 99.9 and 100.1 by choosing values of x that are suffiently large.
(d) Determine the average velocity of the rock, Ah, from time t = 1 to t = 2 seconds. Does this value overestimate or underestimate the instantaneous velocity of the rock at time t = 1 second? Explain your reasoning. (e) The instantaneous velocity of the rock at time t = 1 second is given by h'(1), where Ah h' (1) = lim = lim At-0 At. At-0 (h(₁. (¹). h(1 + At) - h(1) At Evaluate this limit quotient to find the speed of the rock at time t = 1 second. Express your answer in units of both m/s and ft/s. (1 meter≈ 3.28 feet)
find the limit f(x)= (5-x)/x2-25 a) find the x values at which discountous b) which discontinuties are removable
how did you get y^2-4xy to y-4x when there are three y's on top I input the numbers and got 0 which would make it where the limit does not exist.
True or False The limit of a rational function at 5 equals thevalue of the rational function at 5.
True of False: If limit f(x)=2 as x--> -infinity, then the graph of f has a horizontal asymptote at y=2

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Functions and Change: A Modeling Approach to Coll…

Algebra

ISBN:

9781337111348

Author:

Bruce Crauder, Benny Evans, Alan Noell

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

16. A limit exists if both the right-hand and left-hand limits are equal. 17. A jump discontinuity occurs when a function jumps over the x-axis. 18. A vertical asymptote can be found by solving the numerator equal to zero in a rational function.