Question

f(x)=x−6x^(1/3)

x and y intercept of this function pls?

Answer 1

Plug in x = 0 in the equation to get the y-intercept. Plug in y = 0 and solve for x to get the x-intercepts. Or do you need to answers to check your work?

Answer 2

well i have tried the method of plugging in zeros and im not getting the right answer so i would like to see what people can come up with

Answer 3

what can you come up with. i would like to ocmpare to what ive got

Answer 4

If x = 0, y = 0 so the x and y intercepts are both 0

Answer 5

the y-int is zero but the x-int isnt

Answer 6

The y is straightforward. Is the y near x = 14?

Answer 7

no

Answer 8

My solution for x is x = 6sqrt(6). It also corresponds with the graph of the function\[f(x) = x - 6x^\frac{1}{3}\]

Answer 9

i came up with that ans earlier didnt work

Answer 10

Factor out the function as:\[(x^\frac{2}{3} - 6)x^\frac{1}{3} = 0\]Both intercepts are x = 0 or x = 6sqrt6.

Answer 11

i thought so too but i dont know why it doesnt work

Answer 12

what about critical numbers?

Answer 13

Is it an online answer? If so, have you tried other ways of writing the same number, like (6)^(3/2) or something like that? What I find weird is that the Wolf agrees that the intercepts are x = 0 and x = 6sqrt(6)

Answer 14

i know...ive tried all those and none seem to work

Answer 15

and its an online answer

Answer 16

Very likely it's an error on the website or maybe bad formatting of the answer. But hey, someone could see another way of solving it. Anyway, good luck and I hope that you can solve the problem quickly :-)