Please help me on this question! Graph the function?

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

#Algebra #Functions #Graphs #Help #Pleasehelp

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Comments

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 - 6 years, 8 months ago

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

A Former Brilliant Member - 6 years, 8 months ago

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

James Villanueva - 6 years, 8 months ago

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

A Former Brilliant Member - 6 years, 8 months ago

@A Former Brilliant Member – No, it is not but I think it makes C) more appropiate

James Villanueva - 6 years, 8 months ago

@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?

A Former Brilliant Member - 6 years, 8 months ago

@A Former Brilliant Member – The zeros would still be the same and if you order them, the list will be - 3, 3 and 4.

James Villanueva - 6 years, 8 months ago

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 - 6 years, 8 months ago

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 - 6 years, 8 months ago

@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 - 6 years, 8 months ago

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

A Former Brilliant Member - 6 years, 8 months ago

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

rahul singh - 4 years, 12 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$