MHB Is the function y = x^3 one-to-one? If not, why?

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Is the function y = x^3 one-to-one? If not, why?
 
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RTCNTC said:
Is the function y = x^3 one-to-one? If not, why?

sketch the graph ... if it passes the horizontal line test, it is 1-1.
 
Yes, it passes the horizontal line test and thus 1-1.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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