csat-suneung 2018 Q11

csat-suneung · South-Korea · csat__math-humanities 3 marks Curve Sketching Lattice Points and Counting via Graph Geometry
In the coordinate plane, find the number of points with both natural number coordinates that are contained in the interior of the region enclosed by the curve $y = \frac { 1 } { 2 x - 8 } + 3$ and the $x$-axis and $y$-axis. [3 points]
(1) 3
(2) 4
(3) 5
(4) 6
(5) 7 
In the coordinate plane, find the number of points with both natural number coordinates that are contained in the interior of the region enclosed by the curve $y = \frac { 1 } { 2 x - 8 } + 3$ and the $x$-axis and $y$-axis. [3 points]\\
(1) 3\\
(2) 4\\
(3) 5\\
(4) 6\\
(5) 7
Paper Questions
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