Question

I need help with graphing piecewise functions

Answer 1

I'm working on #16 right now, I have a photo of the graph I've done so far, I have to screenshot it.

Answer 2

These are the two points. I understand that piece-wise functions can't overlap, but graphing has always been my weakness, so I don't really know how to continue. I have an exam on it this Friday, so I need to /know/ how to do it.

Answer 3

What makes you think it is a piece wise function?

Answer 4

I assumed that it was since that's what this section in the book is about

Answer 5

It's a mistake to plot the point (3,1) using a solid dot. Nothing in the problem statement says that x=3; the statement(s) only sat that x approaches 3 from the left and from the right, and that these one-sided limits are not the same. Instead of using a solid dot at x=3, use empty circles; you'll need two such circles.

Try again.

Also note that the graph is broken at x=0. As you get closer and closer to x=0, but do not touch it, the 2 halves of your graph approach one another (but do not touch at x=0). If x=0, then y=-1, as you have shown. The label for such a situation is "discontinuous at x=0".

See what you can do now. When stuck, ask questions.

Answer 6

Is it something similar to this?

Answer 7

That's not correct.

Graph one piece at a time, not the entire thing all at once. Start with this:\[\large \lim_{x \rightarrow 0} f(x) = 1\]

Answer 8

Okay, one minute

Answer 9

That?

Answer 10

That graph only shows \[\large \lim_{x \rightarrow 0^{-}} f(x) = 1\]

Answer 11

Unfortunately, Life, it doesn't look as tho' you've read my earlier comments very carefully. Could you go back and do that now? I'd be willing to give you mor suggestions if I see you've used the ones already given you.

Answer 12

I'm sorry, mathmale; I read it twice and I'm trying really hard, it's just not connecting for me. I'll read it again and try once more

Answer 13

Expecially read the part where I mention a dark dot (fully colored inside) versus an empty circle (no coloring).

Answer 14

My points weren't correct either? oh geez. I tried to erase the filled in part and make it empty instead

Answer 15

\[\large \lim_{x \rightarrow 0} f(x) = 1 \]Do you understand what this limit means? What does it tell you?

Answer 16

If you approach x=3 from the left, you approach y=-2. But if you approach 3 from the right, you appraoch y=+2.

Answer 17

As x approaches 0, f(x) approaches 1? @ agent