How do I know if a graph has removable continuity, jump, or infinite? What is the difference?
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Please Math
8. p + 4 < –24 p < –20 p < 28 p < –28 p < 20 9.p/8 ≥ –5 p ≥ 40 p ≥ 3 p ≥ –13 p ≥ –40 10. –5p > –30 p > 6 p < 6 p > –35 p < 35 11. Which inequality matches the graph? 3x + 1 > 4 3x + 1 ≥ 4 3x + 1 < 4 3x + 1 ≤ 4 12. Which

calculus please help!
Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x a and is continuous at a. (If the discontinuity is not removable, enter NONE.) 1. f(x)= (x^41)/(x1), a=1

Pre Algebra
(Connexus) Unit 7, Lesson 9; Equations and Inequalities 1. 9p  17 = 10 A. 3*** B. 16 C. 18 D. 16 2. x/4  5 = 8 A. 27 B. 12*** C. 7 D. 12 3. p/4 + 10 = 14 A. 96 B. 16*** C. 46 D. 16 4. 3(1  2k) = 5k A. 1 B. 1 C. 2 D. 3*** 5. 3n + 2 = 8 + 2n A.

Calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.

Math
Sarah competes in a long jump competition. Her first jump is 4.25m. Her best jump is 12% more than this. However, her best jump is 15% lower than the winning jump. Work out the length of the winning jump.

physics
In 1993, Cuban athlete Javier Sotomayor set the world record for the high jump. the gravitational potential energy associated with Sotomayor's jump was 1970 J. Sotomayor's mass was 82.0 kg. How high did Sotomayor Jump?

Pre Cal
which of the following best describes the behavior of thre function f(x)=(x^22x)/(x^24) at the values not in its domain? a) one vertical asymptote, no removable discontinuities b) 2 vertical asymptotes c) two removable discontinuities d) one removable

Calculus
Suppose f(x) = [sin(x^2  4)]^ 1. Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. Okay, I presume that the [] brackets denote the greatest integer function (int ()

Calculus
Given f(x) = (x^4 + 17) / (6x^2 + x  1) Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. From the work that I have done so far, I know that there are two

Mathematics
A group of students want to determine if a person's height is linearly related to the distance they are able to jump. To determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height,

calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a. Let f(x)= x2+10x+26 2 −x2−10x−24 if

Calculus (Any Help At All Is Really Appreciated)
Suppose g(x) = { 1 / (x2) if x < 1 2x  3 if x >/= 1 The best description concerning the continuity of g(x) is that the function A.) is continuous B.) has a jump discontuity C.) has an infinite discontuity D.) has a removable discontuity E.) None of the

ap calculus
Find the discontinuities of f(x)= ((x^2)+5x+6)/((x^2)4)and categorize them as removable or non removable.

Algebra 2
Describe an infinite geometric series with a beginning value of 2 that converges to 10. What are the first four terms of the sequence? a{1} = first term of series ∞ Infinite Sum = ∑ a{1} • r^(n – 1) = a{1} ⁄ (1 – r) ... for any geometric series

Calculus  #2
Suppose g(x)={x^2+2x+1/x+1 if x

Calculus  Discontinuity
What kind of discontinuity is this piecewise function? Removable or jump? f(x) ={ (2x^2  5x  3)/(x3) if x does not equal 3 ............6............................if x = 3

Calculus
Suppose g(x) = { 1 / (x  2) if x < 1 2x  4 if x >/= 1 The best description concerning the continuity of g(x) is that the function A.) is continuous B.) has a jump discontinuity C.) has an infinite discontinuity D.) has a removable discontinuity E.) None

Calculus
Which of the following must be true for the graph of the function f(x)= (x^225)/5x25) There is: I. a removable discontinuity at x=5 II. a vertical asymptote at x=5 III. an infinite discontinuity at x=5 possibles answers: a) I only b) II only c) III only

math calculus
what does this function show at x=5? f(x)=^225/x5 A. removable discountinuity B. jump discountinuity C. infinite discountinuity D. Countinuity E. None of the above

Calculus
Suppose f(x) = [sin(x^2  4)]^ 1. Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. Okay, I presume that the [] brackets denote the greatest integer function (int ()

physics
A girl makes a jump in the long jump with an initial velocity of 12 m/s. She leaves the ground at 20 degrees above the horizontal. How far is her jump?

PreCalc/Trig
Identify the asymptotes, removable discontinuities, and intercepts for the graph of the function. d(x)=(x^212x+20)/3x

MAtH
The graph of y=1/2 and the graph of y=cosx intersect in an infinite number of points. What is the greatest possible slope of a line drawn from the origin to one of these points?

calculus
what is the property that distinguishes finite sets from infinite sets (give examples of each to accompany explaination). finite sets are countable. Infinite sets are not. so what would be an example of an infinite set? one that never ends? yes.

Physics
In which of the following cases is the frequency of emitted radiation greatest? Electrons jump from third to second orbit Electrons jump from fourth to second orbit Electrons jump from first to second orbit Electrons jump from third to first orbit

Calculus
The problem I have is a summation from 1 to infinity for (1)^n/n. I have to find a partial sum that is in 0.001 of the infinite sum, my teacher says the fourth partial sum approximates the infinite sum, which is 7/12. I think to get within 0.001 of the

APCALCAB
Below is the graph of y = g'(x), (which looks like the following): f(x) { 3 x2 Here are the questions: Answer the following questions about the function g(x) . A. Is is possible, impossible, or certain that g is continuous at x=2? Explain. B. Is it

HS Calculus
Evaluate..........Please Help Lim Infinite > 0 Infinite/cos infinite

Trig
Determine the intervals of continuity of f(x)= ln(sin(x)) I looked at the graph and I have no idea how to state the intervals.

Math  PreCalc (12th Grade)
What does this function show at x = 5? f(x)=x^2−25/x−5 A) removable discontinuity B) jump discontinuity C) infinite discontinuity D) continuity E) none of the above

Calculus
Let f(x)=x+1/(x^(2)1). Is f continuous? If not,classify any points of discontinuity as infinite, jump, or removable. Sketch the graph of y=f(x) for 4

psychology
what is the difference between absolute continuity and differential continuity in regards to personality traits?

Algebra
What will the display of a graphing calculator look like if you graph the left side of an equation with an infinite number of solutions as y1 and the right side of the same equation as y2? A. The graph of the lines will intersect at exactly 1 point. *** B.

physics
At the 2004 Olympic Games in Athens, Dwight Phillips won the gold medal in men’s long jump with a jump of 8.59 m. If the angle of his jump was 23°, what was his takeoff speed? (Treat the jumper as an object; ignore that his legs are in front of him when

MGT 417
What is a business continuity plan? How does a business continuity plan relate to the organization’s mission?

Calculus
Calculate the area under the graph of f of x equals the negative of the natural logarithm of x above the xaxis on the interval (0, 1] a) infinite b) 2 c) 1 d) 0

math check
given the equation 3x +2y =4, Write another equation that will form a linear system with: one solution, no solution and infinite solution. Graph the linear using graphing calculator and write your window setting in the format x: Xmin, xmax, Xscl. Y: Ymin,

Calculus (Discontinuities)
Suppose, f(x) = { (x  1)^2 / x + 1 if x < 2 (x^2  2x  8)/(x  4) if 2

PreCalc
I really need to understand wha tmakes a graph have these discontinuities 1)Removable 2)NonRemovable and how to tell them in a function

Calculus (Discontinuity)
Suppose f(x) = [sin(x^2  4)]^ 1. Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite, or jump discontinuities. Okay, I presume that the [ ] brackets denote the greatest integer function (int () ). Once I

English
1. I can jump more than 1 meter. 2. I can do more than 100 situps at a time. 3. I can jump for 2 meters in the high jump. [Are they all grammatical? Do you have more expressions?]

physics
A girl makes a jump in the long jump with an initial velocity of 12 m/s. She leaves the ground at 20 degrees above the horizontal. How far is her jump?

Linear Algebra
1/ Prove that the set V=R+ ( the set of all positive real numbers) is a vector space with the following nonstandard operations: for any x,y belong to R+ & for any scalar c belong to R: x O+ ( +signal into circle) y=x.y (definition of vector addition) & c O

Math
Sara long jump was 10 feet. That is 5/6 foot longer than Tom's long jump. Did Tom jump more or less than 10 feet? I think I have to multiply and so Tom's jump was less by . I think his jump was 8 1/2 feet. Is tis correct?

physics
A ski jumper launches from a ski jump that is oriented parallel to a hill. The jump has a vertical drop of 50 m and the coefficient of friction μ between the skier and the jump is 0.05. The launch point is 5 m above the hill and there is a small lip at

science
A ski jumper launches from a ski jump that is oriented parallel to a hill. The jump has a vertical drop of 50 m and the coefficient of friction μ between the skier and the jump is 0.05. The launch point is 5 m above the hill and there is a small lip at

Math
For homework we're supposed to give all the properties of different functions. I was able to do all of it except for this one greatest integer function  f(x) = 1/2 [x1] These functions always mess me up! Could someone tell me the following properties of

Algebra
Can someone explain to me why the intersection of two infinite sets is not always an infinite set, but the union of two infinite sets is?

Algebra
I need to determine if they are open, infinite, or none. y = 1/4x + 1 8y = 2x + 8 Open Infinite None* y = 6x + 2 3y = 18x + 12 Open Infinite* None 2y = x + 6 y = 1/2x  3 Open Infinite None* y = 5x  6 3y = 15x  12 Open Infinite None*

Calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a. Let f(x)=2x^2+3x–14/x–2 Show that f(x)

physics
A girl starting from rest at the top of a 40 m jump, inclined at 30º above the horizontal, has 0.15 coefficient of friction. The jump ends with a frictionless, horizontal part. How far does she land away from the jump, which is 50 m above the horizontal

Math
How do I know if a graph has removable continuity, jump, or infinite? What is the difference?

Calculus  #1
Suppose g(x)={1/x+1 if x

CALCULUS
i needed help on some problems and clarification on one. 1. Determine the location and type (removable, jump, infinite, or other) of all discontinuities of the function (x^23x+2)/(x^21) this section has been confusing for me for some reason, can any one

Calculus
Suppose g(x) = { 1 / (x2) if x < 1 2x  3 if x >/= 1 The best description concerning the continuity of g(x) is that the function A.) is continuous B.) has a jump discontuity C.) has an infinite discontuity D.) has a removable discontuity E.) None of the

Calculus AB
Suppose g(x) = { 1 / (x2) if x < 1 {2x  3 if x >/= 1 The best description concerning the continuity of g(x) is that the function A.) is continuous B.) has a jump discontuity C.) has an infinite discontuity D.) has a removable discontuity E.) None of the

Calculus  #4
Suppose g(x)={1/(x2) if x

Calculus  #3
Suppose g(x)={1/(x2) if x

Pre Calculus
Determine all discontinuities that exist on the graph of y = f(x) shown below. Please show your reasoning by justifying your answer with the conditions of continuity. If there is a discontinuity, identify it as removable or nonremovable.

Calculus
suppose f(x) = {x1/x^41 if x

Calculus
Suppose f(x) = (x1)^2/x+1 if x < 2 (x^22x8)/x4 if 2

AP Calculus
Are infinite discontinuities removable? Also, please help me with this question: f(x)=x^2+4x+3 / x^29 has one removable discontinuity and one vertical asymptote. Find and identify the xvalue for each. I found the asymptote at x=3, but please help for the

Calculus
"The graph of y = g(t) is provided below. Based on the graph, where is ln(g(x)) continuous?" I did not include the graph but I would like to know in what ways does ln effect the continuity of a graph. Thanks.

psy
Can you please help me get some datas, to help me answer this question. What is the difference between absolute continuity and differential continuity? Do an individual's experiences impact differential continuity? Provide specific examples.

Math
I need to give an example of a function with at least one removable and one nonremovable discontinuity. I am not to sure how to do this. Please explain! Thanky you

Calculus
What kind of discontinuity is this: F(x)= (2x^2  5x 3)/(x3) if x does not equal 3 6 if x=3 It is a pieces use function. I thought it was removable but my answer key says it is a jump discontinuity. This is from an exam review and I want to get it right.

Calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.

psychology
What is the difference between absolute continuity and differential continuity? Do an individual’s experiences impact differential continuity?

Math
Sarah competes in a long jump competition her first jump is 4.25 m her best jump is 4% more than this however her best jump is 15% lower than the winning jump work out the length of the winning jump

Ap Calculus
Determine the interval on which f(x)=square root of x+ 2 is integrable 1) (negative infinite, 2) 2) (2, infinite) 3) (infinite, 2) U (2, infinite) 4) All reals

calculus
Hi, I am lost on couple of problems and i was wondering if you could just help me out with them. 1. Find and classify the points of discontinuity of the function F(x) = (x^2+7x+12)/(x^39x) now for this problem i know there is going to be an infinite

AP Calculus
A function g(x) has the following characteristics: 1) It is rational with a quadratic polynomial in both the numerator and the denominator. 2) It has a removable discontinuity at x=1 and the limg(x) as x approaches 1 is 1/9 3) The graph of g(x) has a

PLEASE HELP WITH CALCULUS!!!
A function g(x) has the following characteristics: 1) It is rational with a quadratic polynomial in both the numerator and the denominator. 2) It has a removable discontinuity at x=1 and the limg(x) as x approaches 1 is 1/9 3) The graph of g(x) has a

Psychology
What is the difference between absolute continuity and differential continuity? Search does not help as it deals with math not the psychology side. Thanks

Calculus AB
Please help I'm stuck on this problem for the past hour. Define f(x)= { Ln lx1l }/x A) show that f(c) is continuous at x=2 B)Where on the interval [2,2] is f discontinuous? Show the work that leads to your conclusion. C) classify the discontinuities in

infinite discontinuity
How do check the graph of a function has an infinite discontinuity at a point or not? (without the help of a graphing calculator) example: Check whether y = (x^29)/(3x9) has an infinite discontinuity at x = 3 or not CAn you get rid of the denominator?

Math
I've got quite a few problems. Please answer any of them in whole or in part. Thank you in advance. (For the record, you're not doing my homework; you're helping me understand it. These problems were not assigned.) (1). Determine the discontinuities and

psychology
What is the difference between absolute continuity and differential continuity?

psychology
What is the difference between absolute continuity and differential continuity?

Math Ideas only
I need some help on getting ideas for my limits & continuity calculus project! For the limits project: I have to conduct an "interview with a limit" (Q&A format).I have to include factual information like definitions, properties, theorems, etc. I also have

Calculus
I need some help on getting ideas for my limits & continuity calculus project! For the limits project: I have to conduct an "interview with a limit" (Q&A format).I have to include factual information like definitions, properties, theorems, etc. I also have

algebra
what is the graph of 6X^2+6X12>0? My solution is: an open circle over 2 going to infinite an open circle over +1 going to infinite is this correct?

science
On average, froghopper insects have a mass of 12.3 mg and jump to a height of 428 mm. The takeoff velocity is achieved as the little critter flexes its leg over a distance of approximately 2.0 mm. Assume a vertical jump with constant acceleration. How long

science
On average, froghopper insects have a mass of 12.3 mg and jump to a height of 428 mm. The takeoff velocity is achieved as the little critter flexes its leg over a distance of approximately 2.0 mm. Assume a vertical jump with constant acceleration. How long

math
please help!!the question is..at track practice,Sheila worked on the long jump.her first jump measured 3 yards,2 feet,8 inches.second jump measured 2 yards,1 foot,10 inches.How much longer was sheilas first jump than her second jump?express your answer in

Computers
1.State the name of the removable disk which was invented in 1962. 2.Who invented the removable disk?

pleaseeee....it's urgent!
1.State the name of the removable disk which was invented in 1962. 2.Who invented the removable disk?

Calculus
Calculate the area under the graph of f(x)=1/(x^2+1) in the first quadrant a) pi/4 b) pi/2 c) pi d) infinite

Physics  Kinematics
At the 2004 Olympic Games in Athens, Dwight Phillips won the gold medal in men’s long jump with a jump of 8.59 m. If the angle of his jump was 23°, what was his takeoff speed? (Treat the jumper as an object; ignore that his legs are in front of him when

physics
Fleas can jump quite high; experiments show that they reach an altitude of 130 times their own height when they jump vertically! Suppose instead that a flea can jump so that it lands a maximum distance of 19.60 cm away. What is the takeoff speed for this

Science
Jill is jumping on a trampoline in her backyard. When will she have both potential and kinetic energy? A. Halfway between the highest point and the lowest point of a jump B. At the highest point of a jump C. At the lowest point of the jump D. Just before

Algebra
Issa determined there is a linear relationship between how far up the hill she starts skiing and the length of her jump starting at 90 ft up the hill how far should she expect to jump? distance jump 50ft 37ft 65ft 48.1ft 80ft 59.2ft 95ft 70.3ft 110ft

math
In an ordered (A – K, ♠♢♣♡) 52 card deck, using JUMP SEARCH, looking for the queen of hearts, a. What is the optimum jump size k? b. How many probes (m) will it take with the optimum jump size? c. What is the worst case number of comparisons

physics
A high jumper of mass 80.0 kg consumes a meal of 4.00 103 kcal prior to a jump. If 3.3% of the energy from the food could be converted to gravitational potential energy in a single jump, how high could the athlete jump?

Physics
A high jumper of mass 80.0 kg consumes a meal of 4.00 103 kcal prior to a jump. If 3.3% of the energy from the food could be converted to gravitational potential energy in a single jump, how high could the athlete jump?

Calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a. Let f(x)=2x^2+3x–14/x–2 Show that f(x)

Physics
an athlete is attempting to jump over a bar that is 1.5 meters in the air what is the lowest initial velocity that the athlete must jump with in order to successfully jump over the bar

how to sketch a graph of..
Local minimum and local maximum imply that the function approaches negative and positive infinite at opposite sides of the graph. Local minimum (1,1) and local maximum (3,3) means the slope of the function is 0 at these points. Thank you so much. So 1)when

physics
A girl starting from rest at the top of a 40 m jump, inclined at 30º above the horizontal, has 0.15 coefficient of friction. The jump ends with a frictionless, horizontal part. How far does she land away from the jump, which is 50 m above the horizontal

PreCalculus
Q.Determine the sum of each infinite geometric series. t_1= 8 r = 2^1/2  A.This is a divergent series because the absolute value of r is greater than 1.  Q. The first term of