okay so i know that i already asked this question but, i did some thinking (good for me right :D) and i said that cuberoot(5)-cuberoot(3) is larger because because the space between the the points on the graph are further apart, or have a longer secant line. is that a fair assumption?
the original question was...using the graph cuberoot(x) explain without using algebra whether cuberoot(5)-cuberoot(3) or cuberoot(7)-cube(5) is larger

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what would be construed as using algebra?

it says any alegebra

3rt(7) and 3rt(5) tend to be more level, and change less than 3rt(3) and 3rt(5)

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