Continuity

Welcome to the Continuity category on Questions LLC! Here, you will find a wealth of information and diverse perspectives on the fascinating concept of continuity. Continuity encompasses various fields, including mathematics, physics, philosophy, and even storytelling. Whether you are looking to explore the unbroken sequence of events, the preservation of mathematical limits, or the consistency of narratives, this category is a treasure trove of insights and discussions. So dive in, ask thought-provoking questions, and engage in stimulating conversations with our knowledgeable community. Let's unravel the mysteries of continuity together!

Questions (93)

Which of the following functions is continuous at x = 3? (5 points)Select one: a. f of x equals the quotient of the quantity x
1. 5 answers
2. asked by Mayur
3. 6,642 views
If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true?I. g(x) = 1 at
1. 4 answers
2. asked by Mishaka
3. 3,123 views
Supposeg(x) = { 1 / (x-2) if x < 1 2x - 3 if x >/= 1 The best description concerning the continuity of g(x) is that the function
1. 4 answers
2. asked by Mishaka
3. 1,359 views
An art therapist at a nursing home says, “People are growing and changing all the time. I see this in my patients, who are
1. 2 answers
2. asked by Person 77
3. 214 views
4. For what value of the constant k the functionf(x)= x^ 2 -4 x-2 &if x ne2,\\ 2k - x &if x=2 is continuous at x = 2 A) -3 B) -1
1. 1 answer
2. asked by Arshal
3. 79 views
Determine whether f is continuous at x=c in the function. Use the 3 conditions of continuity to justify your answer.f(x) =
1. 3 answers
2. asked by Abbey(Please help)
3. 1,000 views
Find the constant a such that the function is continuous on the entire real lineg(x)=x^2-a^2/x-a if x doesn't equal a 6 if x=a
1. 4 answers
2. asked by david
3. 2,881 views
Find the value of the constant C that makes the following function continuous on (-infinity, +inf)f(x)={cx+2 if x is in (-inf,2]
1. 4 answers
2. asked by Logan
3. 3,024 views
For what value of the constant c is the function f continuous on the interval negative infinity to positive infinity?f(x)={cx2+7
1. 4 answers
2. asked by Aly
3. 3,546 views
Supposeg(x) = { 1 / (x - 2) if x < 1 2x - 4 if x >/= 1 The best description concerning the continuity of g(x) is that the
1. 4 answers
2. asked by Mishaka
3. 1,695 views
determine the intervals where f(x) = ln(6x-24) is continuous
1. 4 answers
2. asked by Ahmed
3. 886 views
Find the value of constants c and d that make the function below continuous atx = 4. f(x) = x2 − 3x x < 4 c x = 4 d + x x > 4
1. 3 answers
2. asked by John
3. 1,461 views
Use a graph to determine whether the given function is continuous on its domain. HINT [See Example 1.]f(x) = x + 7 if x < 0 2x
1. 4 answers
2. asked by LA
3. 3,093 views
Explain, using the theorems, why the function is continuous at every number in its domain.F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a
1. 3 answers
2. asked by Maura
3. 2,188 views
For what value of the constant c is the function f continuous on (âˆ’âˆž, âˆž)?f(x) = cx2 + 4x if x < 3 x3 âˆ’ cx
1. 3 answers
2. asked by Anonymous
3. 1,037 views
Find numbers a and b or k so that f is continuous at every point. \F(x)= 4x+7 if x<-4 kx+10 if x≥-4 Is -5/2 the correct
1. 4 answers
2. asked by Christopher
3. 2,704 views
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.
1. 2 answers
2. asked by Jet
3. 723 views
Which statement correctly describes the function?f(x)= x+4/ x^2+7x+10 A. It is continuous. B. It is discontinuous because there
1. 7 answers
2. asked by Jade
3. 1,325 views
For what value of the constant c is the function f continuous on the interval (-infinity, +infinity).f(x) = cx^2+4x, x < 2 f(x)
1. 2 answers
2. asked by Alex
3. 764 views
Which of the following functions is continuous at x = 5? I put a for my answer, could someone please check this?a.
1. 3 answers
2. asked by Tom
3. 1,661 views
Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. Describe the continuity of h at x = 0.how would you do this
1. 2 answers
2. asked by lisa
3. 939 views
Find x-values if any at which the function f(x)=13x^2-15x-15 is not continuous. Which of the discontinuities are removable?THANK
1. 6 answers
2. asked by Danielle
3. 1,153 views
Supposeg(x)={x^2+2x+1/x+1 if x<1 {2x if x≥1 The best description concerning the continuity of g(x) is that the function: is
1. 4 answers
2. asked by Samantha
3. 913 views
at what point is the function y=cos/(5x) continuous?
1. 3 answers
2. asked by Bubu
3. 627 views
Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. Describe the continuity of h at x = 0.how would you do this
1. 2 answers
2. asked by lisa
3. 564 views
Determine values of a and b that make the given function continuous .16sinx÷x f(x)= a bcosx It's a bicewise function
1. 5 answers
2. asked by Mohammed
3. 868 views
Is f(x)=1/sqrt(x-5) continious at x=2?I know it is discontinuous at x=5 but then I got confused with the three rules. Because
1. 3 answers
2. asked by Nikita
3. 401 views
Are the following functions continuous?{ x^2-1, if x>-1 f(x)= { 0, if x=-1 { 4-x, if x<-1 A. yes B. no { 2x+1, if x ≤-1 f(x)=
1. 4 answers
2. asked by highschooler
3. 87 views
Let f(x,y) = ( 3*(x^2)*y ) / ( (x^2) + (y^2) )Where is f continuous? ================ We've been taught that a polynomial in x,
1. 1 answer
2. asked by Ashley
3. 91 views
Where on the interval [0,pi/4] is the function f(x)=(7x+3)/(cos(4x)) continuous?Using interval notation
1. 2 answers
2. asked by Jade
3. 573 views
The given function is defined for allx > 0 except at x = 8. Find the value that should be assigned to f(8), if any, to guarantee
1. 2 answers
2. asked by Carli Minacapel
3. 640 views
Let f(x)=(x-2)/((sqrtx)-(sqrt2)), if x does NOT equal 2 and f(x)=k if x=2.Then f is continuous everywhere in its domain if k=
1. 1 answer
2. asked by Anonymous
3. 317 views
For what value of the constant c is the function f continuous on (−∞,∞) wheref(x)= c if x=0, and xsin(1/x) otherwise
1. 2 answers
2. asked by anonymous
3. 656 views
Determine the values of a and b to make the following function continuous at every value of x.?f(x)= { e^(x^2-x+a) if x < 1 ,
1. 2 answers
2. asked by Ree
3. 598 views
Find the set of points that the following function is continuous at them.f(x)= { √(5-x) -2 if x < 1 , (2x-1 + In(x)) / (x-25)
1. 1 answer
2. asked by Ree
3. 356 views
Prove if f(p) = 0 where abs(f) is continuous at p, then f is continuous at p. Note: we have only learned continuity,
1. 1 answer
2. asked by Mari
3. 439 views
Prove f(x) is discontinuous at 0 for the function f(x) = x if x>=0 and f(x) = 1 - x if x < 0 using the epsilon-delta method.
1. 1 answer
2. asked by Marie
3. 429 views
Prove f(x)=b^x is continuous on (-infinity,infinity) i.e. a exist in the reals. here assume b does not equal 1, but b>0
1. 1 answer
2. asked by anonymous
3. 315 views
i noticed it doesn't have x in them. i don't know what to do.prove: let epsilon>0. let f(x) = pi + 3 for x∈ real number. Prove
1. 1 answer
2. asked by Lucy
3. 388 views
If h(x) is equal to (x^2-4)/(x+2)when x ≠ –2, and h(x) is continuous for all real numbers, then what is the value of
1. 1 answer
2. asked by Samantha
3. 383 views
Supposeg(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: is
1. 1 answer
2. asked by Samantha
3. 631 views
Supposeg(x)={1/(x-2) if x<1 {2x-3 if x≥1 The best description concerning the continuity of g(x) is that the function: is
1. 2 answers
2. asked by Samantha
3. 576 views
Supposeg(x)={1/x+1 if x<1 {2x-1 if x≥1 The best description concerning the continuity of g(x) is that the function: is
1. 3 answers
2. asked by Samantha
3. 591 views
Show that the function f(x)= |x| + |x-1| is continous at function for every value of x
1. 2 answers
2. asked anonymously
3. 25 views
or what value of the constant c is the function f continuous on (−∞,∞) wheref(x)={cx+7cx2−7 if x∈(−∞,3] if
1. 2 answers
2. asked by Anonymous
3. 535 views
The function f is given by the formula f(x)=6x^3+17x^2+4x+21/x+3when x<–3 and by the formula f(x)=2x^2–4x+a What value must
1. 3 answers
2. asked by URGENT
3. 428 views
F(X)= x-2/(x^2-4) is continuous at x=1 and why as limits approach from 1+ and 1-
1. 3 answers
2. asked by daryl
3. 287 views
F(X)=9 csc6(X)it is continous from -infity to infinity except what value?
1. 1 answer
2. asked by Mohammad Al-Abdullah
3. 224 views
Under what conditions can you extend a function f(x) to be continuous at a point x=c?Is this just rules for continuity or am I
1. 3 answers
2. asked by Claire
3. 465 views
determine the value of the constant α so that f(x,y) is continuous at (1,-1) iff(x,y): i)sin(x+y)/(x^(2 )– y^2 (x,y)≠(0,0)
1. 1 answer
2. asked by alya
3. 332 views

Continuity

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