Question

Which table represents points on the graph of h(x) = RootIndex 3 StartRoot negative x + 2 EndRoot?

A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.
A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.
A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.
A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.

Answer 1

Table C. For h(x)=∛(−x+2) we have y^3 = −x+2 ⇒ x = 2 − y^3. For (y = 2,1,0,−1,−2) this gives x = −6,1,2,3,10, which matches the third table.