Q:

Which table represents points on the graph of h(x)=3 squared root negative x plus 2?

Accepted Solution

A:
The function is h(x) = ∛(- x + 2).

Replace the values of x given and check the resulting value of h(x).

In this case the correct points are:

  x          h(x) = ∛ (- x + 2)

- 6         h(6) = ∛ [ - ( - 6) + 2] = ∛ ( 6 + 2) = ∛8 = 2

1            h(1) = ∛[ - ( 1) + 2] = ∛1 = 1

2            h(2) = ∛[ - 2 + 2] = ∛0 = 0

3            h(3) = ∛[ - 3 + 2] = ∛( - 1) = - 1

4             h(10) = ∛ [ - 10 + 2 ] = ∛ ( -8) = - 2

So, the answer is:

x   - 6    1     2     3     10

y     2    1     0    -1      -2