Answer:
Last Option (8,6) is the right answer.
Explanation:
The given function is f(x) = 8 - ∛x
We can rewrite the function f(x) = 2³ - ∛x as y = 2³ - ∛x
Now we will check for each point whether it lies on the graph.
For (-64,12)
y = 8 - ∛-64
y = 8 - ∛(-4)³ = 8 - (-4) = 12
Therefore this point lies on the graph.
For point (125,3)
y = 8 - ∛125
y = 8 -5 =3
Therefore the point lies on this graph.
For point (343,1)
y = 8 - ∛343
y = 8 - ∛7³ = 8 - 7 = 1
Therefore the point lies on graph.
For point (8,5)
y = 8 - ∛8
y = 8 - 2 = 6 ≠ 5
While the value of x coordinate of the given point is 8.
Therefore this point doesn't lie on the given graph.