Question

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

Answer 1

what would be construed as using algebra?

Answer 2

it says any alegebra

Answer 3

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

Answer 4

so my secant idea was wrong?

Answer 5

its good, but you gotta see it as the slope of the line;

5 to 7 changes little compared to 3 to 5

Answer 6

so 5-3 has a smaller slope than the 7-5

Answer 7

spose 2-2 = 0; 7 to 5

and 2-1 = 1; 5 to 3

Answer 8

larger slope

Answer 9

changes quicker

Answer 10

okay it makes sense thank you amirstre you are like my favorite person you have answered pretty much all of my questions

Answer 11

youre welcome

Answer 12

so it wants to me to create a similar question using a different function which im using e^x and my equation is e^3-e^2 which is greater then e^8-e^5