Question

PLEASE HELP how do I graph y = ^3√x-2 for the domain -6 ≤ x ≤ 10? Thank you!

Answer 1

Ok, so what that means (I think is)

y=∛(x-2)

evaluate at x=-6 and x=10

@x=-6, the point is -2
(-6,-2)

@x=10, the point is ∛12
(10,∛12)
so graph those 2 points
also, find the x intercept and y intercept (if applicable) and plot those points for a better picture

0=∛(x-2)
0=x-2
2=x
(2,0) is the x intercept

y=∛(0-2)
y=∛(-2)
(0,∛(-2)) is the y intercept

for an even better idea, find the values of x=-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10 to get a clearer picture of the graph


ideally, what you should do is graph y=∛x,then move it 2 units to the right
then cut it off at x=-6 and x=10