Let f(x) be a function defined by:(adsbygoogle = window.adsbygoogle || []).push({});

f(x)= { 2x+1 for x (less than or equal to) 2

.5x + k for x (greater than) 2

A) For what value of 'k' will f(x) be continuous at x=2? Justify your answer.

B) Using the value of 'k' found in part A, determine whether f(x) is differentiable at x=2.

Any help on where to get started would be great. I think I have to plug in the 2 in the first equation...but I'm lost on what to do. Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Branch function

**Physics Forums | Science Articles, Homework Help, Discussion**