Question

Is the function f(x)=lxl continuous for all real numbers?

Answer 1

Yes but this is not differentiable.

Answer 2

Thanks!

Answer 3

What's the definition of continuity? A function f is continuous at x = a if
\[ \lim_{x \rightarrow a} f(x) = f(a) \]

Now, it seems clear this function is continuous for all a > 0 and for all a < 0.

The only possible question mark is what happens at a = 0.

Answer 4

It was a true or false question, i answered true!

Answer 5

You got that right, so no need to worry about it :)

Answer 6

Thanks :)

Answer 7

Yes, but it's always good to know why it's right!

Answer 8

Glad to help :)

Answer 9

True @JamesJ! Appreciate the help guys