anonymous
  • anonymous
What is the x-intercept of this piecewise function?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
|dw:1371007718302:dw| x-intercept, when y = 0
anonymous
  • anonymous
Heres some of the answers. I can only see how it crosses at (0,0)
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More answers

whpalmer4
  • whpalmer4
Okay, the correct answer is on that list...why don't you tell us what you think about each choice?
whpalmer4
  • whpalmer4
Here's a graph of the function from x=-2 to x=5
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anonymous
  • anonymous
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
anonymous
  • anonymous
*can't help but think
whpalmer4
  • whpalmer4
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.
anonymous
  • anonymous
you'll want to go through and see if the piecewise f(x) can = 0 within any of the 3 domains
anonymous
  • anonymous
I don't think the first one is possible, because as the graph shows, it doesn't cross at (2,0)
whpalmer4
  • whpalmer4
That's correct. Go on...
anonymous
  • anonymous
the second one was wrong because it does cross the x axis
whpalmer4
  • whpalmer4
Correct again...
anonymous
  • anonymous
Also, from the graph I see that it does cross at (16,0)
whpalmer4
  • whpalmer4
Are you sure about that?
anonymous
  • anonymous
I guess it doesn't, it just kinda...starts a different way once it gets there
anonymous
  • anonymous
it does cross at the origin and it doesn't cross at (0.5,0)
whpalmer4
  • whpalmer4
No, the last section starts at x = 4, not x = 16... it has y = 16 at that point, not x...
anonymous
  • anonymous
Oh,Okay I get that
whpalmer4
  • whpalmer4
Here's a bigger picture graph
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whpalmer4
  • whpalmer4
As you can see, at x = 16, it's nowhere near the x-axis... Only 1 correct answer, agreed?
anonymous
  • anonymous
Right then, so it does cross at the origin. Which is my answer.
whpalmer4
  • whpalmer4
Yep, that's the only correct choice.
anonymous
  • anonymous
Thanks for going through it with me
whpalmer4
  • whpalmer4
You're welcome, of course!

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