Difference between revisions of "1950 AHSME Problems/Problem 44"
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==Problem== | ==Problem== | ||
| − | The graph of <math> y | + | The graph of <math> y=\log x</math> |
<math>\textbf{(A)}\ \text{Cuts the }y\text{-axis} \qquad\\ | <math>\textbf{(A)}\ \text{Cuts the }y\text{-axis} \qquad\\ | ||
Latest revision as of 15:16, 9 May 2015
Problem
The graph of 
Solution
The domain of 
is the set of all 
reals, so the graph of clearly doesn't cut the 
-axis. It therefore doesn't cut every line perpendicular to the 
-axis. It does however cut the -axis at 
. In addition, if one examines the graph of , one can clearly see that there are many circles centered at the origin that do not intersect the graph of . Therefore the answer is 
.
See Also
| 1950 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 43 |
Followed by Problem 45 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
