Question

( 20 points ) The following table represents the function h(x)... Complete the table for

Answer 1

Answer:

see the procedure

Step-by-step explanation:

we have that

$g(x)=\frac{1}{2}h(x)$

we know that

To obtain the value of g(x), multiply the value of h(x) by one-half

so

1) For x=-4, h(x)=256

$g(x)=\frac{1}{2}(256)=128$

therefore

For x=-4, g(x)=128

2) For x=-2, h(x)=16

$g(x)=\frac{1}{2}(16)=8$

therefore

For x=-2, g(x)=8

3) For x=0, h(x)=0

$g(x)=\frac{1}{2}(0)=0$

therefore

For x=0, g(x)=0

4) For x=3, h(x)=81

$g(x)=\frac{1}{2}(81)=40.5$

therefore

For x=3, g(x)=40.5

5) For x=6, h(x)=1296

$g(x)=\frac{1}{2}(1296)=648$

therefore

For x=6, g(x)=648