Posted by **Matthew** on Saturday, February 11, 2012 at 1:16am.

Can someone help me with this question. With steps.

Examine the continuity of the function

h(x)=

-x, if x<0

0, if x=0

x, if x>0

- Calculus -
**Matthew**, Saturday, February 11, 2012 at 2:39am
What would be discontinous at x=?

explain please

- Calculus -
**Steve**, Saturday, February 11, 2012 at 5:31am
This is just h(x) = |x|

h is continuous at x=0, but

h' is discontinuous at x=0, since

h'(x) = -1 for x < 0

h'(x) = 1 for x > 0

- Calculus -
**Matthew**, Saturday, February 11, 2012 at 1:36pm
Is there suppose to be calculations involved? :|

## Answer this Question

## Related Questions

Calculus - Examine the continuity of the function h(x)=[-x, if x<0 .......0, ...

Calculus - Is this the right explanation for this question 1. Examine the ...

Calculus - I don't know what to write for question b and c. 1 a)Determine the ...

Math - Continuity - Determine the constants a and b so that the function f is ...

psy - Can you please help me get some datas, to help me answer this question. ...

Calculus (Continuity and Differentiability) - Okay. So I am given a graph of a ...

math/calculus - Under what conditions can you extend a function f(x) to be ...

CALCULUS DERIVATIVES CONTINUITY - Let f be the function defined by the piecewise...

calculus - how to find the continuity of this function? f(x)=1-3x^2

Calculus - Why is it important to determine continuity of the function?