Question

Help with Piecewise?

Answer 1

I'm struggling with triple piecewise functions. So here is an example of one I need help with:

Answer 2

ok

Answer 3

ok

Answer 4

\[f(x)=\left\{ x^2-3 \right\} (if -x<0)\]
\[\frac{ 1 }{ 2 }x-3(if-0 \le x<4)\]
\[(x-4)^2-1 (if-x \ge 4)\]

Answer 5

I have to graph this function.

Answer 6

Btw, the "if-" int the problems were to show the if x is <,>,<= etc.

Answer 7

Ok, do them separately, step by step, start with
\[f(x) = (x^2-3) \left\{ x<0 \right\}\]

Answer 8

That's where I am a little confused to be honest. Because doesn't that give x a limit into negative infinite?

Answer 9

No, you need to "break" the curve and continue the function, the limits isn't a problem here.

Answer 10

Break the curve?

Answer 11

The curve of
\[x^2-3\]
looks like this

Answer 12

But for this part we do it for x<0 so it looks like this