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On the x-y coordinate plane there is a parabola, y=x(6-x). W

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On the x-y coordinate plane there is a parabola, y=x(6-x). W

by Max@Math Revolution » Wed Jan 20, 2016 9:02 pm
On the x-y coordinate plane there is a parabola, y=x(6-x). Which of the following points is in the region that surround with this parabola and x-axis?

I. (1, 4) II. (3, 6) III. (5, 4)


A. I only B. II only C. III only D. I & II E. I, II &III


* A solution will be posted in two day.
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by GMATinsight » Fri Jan 22, 2016 4:27 am
Max@Math Revolution wrote:On the x-y coordinate plane there is a parabola, y=x(6-x). Which of the following points is in the region that surround with this parabola and x-axis?

I. (1, 4) II. (3, 6) III. (5, 4)


A. I only B. II only C. III only D. I & II E. I, II &III


* A solution will be posted in two day.
Plot the graph of equation y=x(6-x)

Since the graph will be an inverted parabola open downwards (i.e. y will be less than x(6-x) for points to be inside the parabola) therefore any point for which y<x(6-x) with positive value of y will be surrounded by the graph and x-axis (as shown in figure)

All points are surrounded as shown in figure and satisfied by (red highlighted equation). Hence,

Answer: Option E
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by Max@Math Revolution » Sat Jan 23, 2016 10:26 pm
On the x-y coordinate plane there is a parabola, y=x(6-x). Which of the following points is in the region that surround with this parabola and x-axis?

I. (1, 4)II. (3, 6) III. (5, 4)

A. I only B. II only C. III only D. I &II E.I, II &III

Image

==>If you look at the attached picture, I, II &III are all included in the graph. Therefore, the answer is E.
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