Question

What is the x-intercept of this piecewise function?

Answer 1

x-intercept, when y = 0

Answer 2

Heres some of the answers. I can only see how it crosses at (0,0)

Answer 3

Okay, the correct answer is on that list...why don't you tell us what you think about each choice?

Answer 4

Here's a graph of the function from x=-2 to x=5

Answer 5

Well, I can see how it crosses the x axis at the origin. But I can't help but this there is more than one right answer

Answer 6

*can't help but think

Answer 7

Well, go through the list and tell us whether you think each one is possible or not. Explaining something to someone else is a great way to test and build your understanding.

Answer 8

you'll want to go through and see if the piecewise f(x) can = 0 within any of the 3 domains

Answer 9

I don't think the first one is possible, because as the graph shows, it doesn't cross at (2,0)

Answer 10

That's correct. Go on...

Answer 11

the second one was wrong because it does cross the x axis

Answer 12

Correct again...

Answer 13

Also, from the graph I see that it does cross at (16,0)

Answer 14

Are you sure about that?

Answer 15

I guess it doesn't, it just kinda...starts a different way once it gets there

Answer 16

it does cross at the origin and it doesn't cross at (0.5,0)

Answer 17

No, the last section starts at x = 4, not x = 16...
it has y = 16 at that point, not x...

Answer 18

Oh,Okay I get that

Answer 19

Here's a bigger picture graph

Answer 20

As you can see, at x = 16, it's nowhere near the x-axis...

Only 1 correct answer, agreed?

Answer 21

Right then, so it does cross at the origin. Which is my answer.

Answer 22

Yep, that's the only correct choice.

Answer 23

Thanks for going through it with me

Answer 24

You're welcome, of course!