how can you tell if a graph is invertible just from the equation given? Examples: x^6+x3+1, e^x^(2-1)

Question

dan815 · Answer

invertible means?

dan815 · Answer

reflection across what axis?

anonymous · Answer

invertible is when none of the y coordinates repeat

anonymous · Answer

so y axis?

anonymous · Answer

$x^6$ is a clue that it is not

anonymous · Answer

so if any exponents in the function are even, then it is not invertible?

anonymous · Answer

the function is not even, but the degree is

anonymous · Answer

that means the "end behaviour" as i now see it called is it starts from top left and ends at top right, so it will not pass the "horizontal line test" |dw:1380860715985:dw|

dan815 · Answer

oh i see

anonymous · Answer

as for the second one, i have no idea what 
$$e^{x^{2-1}}$$ means

anonymous · Answer

Is there a way to tell just by looking at the equation without graphing or plugging in points?

anonymous · Answer

sure, i just told you without a picture
my picture was fiction, a mental picture

dan815 · Answer

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