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Please help me on this question! Graph the function?

I think the answer is C but i'm not 100% sure!

Note by Christina Morris
3 years ago

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The answer is C. Set each factor of the formula of the function equal to 0 and solve for x in order to find the x-intercepts: x + 3 = 0 then x = - 3; x - 3 = 0 then x = 3; x - 4 =0 then x = 4. Therefore, the graph of the function has x-intercepts - 3, 3 and 4.

James Villanueva - 3 years ago

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Thank you! I tried A the first time I took the test and got it wrong so I was pretty sure it had to be C but I thought double check! :)

Christina Morris - 3 years ago

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Note that though the graph is the same, the answer to the second question of "What are the zeros of the function" are different.

Answers in A are \( 3, -3, -4 \), answers in C are \( -3, 3, 4 \).

Calvin Lin Staff - 3 years ago

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@Calvin Lin Yes, you are right. I didn't see the negative sign of - 4 in the option A), it is pretty small hehehehe. So the only correct option is C).

James Villanueva - 3 years ago

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A has the same solutions...Why not A??

Abhineet Nayyar - 3 years ago

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Because the zeros in A) are not in ascending order. That's why I would select C) as my answer.

James Villanueva - 3 years ago

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@James Villanueva But that's not a necessary reason?? Is it?

Abhineet Nayyar - 3 years ago

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@Abhineet Nayyar No, it is not but I think it makes C) more appropiate

James Villanueva - 3 years ago

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@James Villanueva What if i jumble the terms and write them as y=(x-3)(x+3)(x-4), Then?? There is no difference...between the two functions...so, now?

Abhineet Nayyar - 3 years ago

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@Abhineet Nayyar The zeros would still be the same and if you order them, the list will be - 3, 3 and 4.

James Villanueva - 3 years ago

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Only (c) can be the correct answer... As zeroes of the function suggest

Rahul Singh - 1 year, 4 months ago

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The answer could be both A and C...i am not able to see a difference between them!!

Abhineet Nayyar - 3 years ago

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