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Which points lie on the graph of
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21 May 2019, 12:23
21 May 2019, 12:23
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58% (01:56) correct
41% (01:43) wrong based on 97 sessions
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Which points lie on the graph of \(y= \frac{3x^2+2}{x-1}\) ?
Indicate all possible choices.
A. \((− 5, − 13)\)
B. \((− 4, − 10)\)
C. \((0, 2)\)
D. \((3, 14 \frac{1}{2})\)
E. \((5, 19 \frac{1}{2})\)
Indicate all possible choices.
A. \((− 5, − 13)\)
B. \((− 4, − 10)\)
C. \((0, 2)\)
D. \((3, 14 \frac{1}{2})\)
E. \((5, 19 \frac{1}{2})\)
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which points lie on the graph of
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11 Jun 2019, 10:51
11 Jun 2019, 10:51
4
Carcass wrote:
Which points lie on the graph of \(y= \frac{3x^2+2}{x-1}\) ?
Indicate all possible choices.
A. \((−5, −13)\)
B. \((−4, −10)\)
C. \((0, 2)\)
D. \((3, 14 \frac{1}{2})\)
E. \((5, 19 \frac{1}{2})\)
Indicate all possible choices.
A. \((−5, −13)\)
B. \((−4, −10)\)
C. \((0, 2)\)
D. \((3, 14 \frac{1}{2})\)
E. \((5, 19 \frac{1}{2})\)
Explanation
Key Concept: If a point lies on a given line (or curve), then the x- and y-coordinates of that point must satisfy the equation of that line (or curve)
So, for each answer choice, we must plug in the x and y values (aka the coordinates) to see whether they satisfy the given equation.
A. \((−5, −13)\)
We get: \(-13= \frac{3(-5)^2+2}{(-5)-1}=\frac{77}{-6}\)
Doesn't work.
ELIMINATE A
B. \((−4, −10)\)
We get: \(-10= \frac{3(-4)^2+2}{(-4)-1}=\frac{50}{-5}=-10\)
WORKS!
C. \((0, 2)\)
We get: \(2= \frac{3(0)^2+2}{(0)-1}=\frac{2}{-1}=-2\)
Doesn't work.
ELIMINATE C
D. \((3, 14 \frac{1}{2})\)
We get: \(14.5= \frac{3(3)^2+2}{3-1}=\frac{29}{2}=14.5\)
WORKS!
E. \((5, 19 \frac{1}{2})\)[/quote]
We get: \(19.5= \frac{3(5)^2+2}{5-1}=\frac{77}{4}=19.25\)
Doesn't work.
ELIMINATE E
Answer: B & D
Cheers,
Bret
Re: Which points lie on the graph of
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30 Sep 2024, 09:06
30 Sep 2024, 09:06
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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