Find the value of p and q that make the function continuous

egc
Messages
2
Reaction score
0

Homework Statement



Find the value of p and q that make the function continuous

Homework Equations


f(x)= x-2 if x≥2
\sqrt{p-x^{2}} -2<x<2
q-x if x≤-2

The Attempt at a Solution


lim f(x)= x-2
n→2+

lim f(x)=q-x
n→-2

I really have no idea how to continue,the teacher never explained this and I have a test tomorrow please help!
 
Last edited:
Physics news on Phys.org
Does q= -2 and p=4 ?
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
View full post »

Similar threads

Can this function still be a constant function?
Replies
11
Views
2K
Show that the given function is continuous
Replies
27
Views
2K
Problem 1-23 and 1-24 from Spivak's Calculus on Manifolds
Replies
6
Views
2K
f(x) = 2x+1, proving that it is continuous when p = 1 with 𝛿 and ε
Replies
7
Views
1K
Find f s. t. ||f||=1 and f(x) < 1 with ||x||=1
Replies
20
Views
2K
How to calculate primitive functions on maximal intervals for periodic functions?
Replies
4
Views
2K
Why is this valid? Continuity of Functions Problem
Replies
3
Views
1K
Prove that this series converges uniformly on R
Replies
4
Views
1K
How should I show that the transformation makes the system Hamiltonian?
Replies
4
Views
2K
Showing that an exponentiation is continuous -- Help please....
Replies
14
Views
3K

Hot Threads

Recent Insights

Back
Top