The function f (x) is represented by the table below. What are the corresponding values of g (x) for the transformation g (x) = 2f (x)

x | f (x)

-6 2

-2 2

0 6

1 3

6 - 1

see the explanation

Step-by-step explanation:

we know that

g (x) = 2f (x)

so

Find the value of g (x) for the corresponding value of f (x)

1) For x=-6, f (x) = 2

Substitute

g (x) = 2f (x)

g (x) = 2 (2) = 4

2) For x=-2, f (x) = 2

Substitute

g (x) = 2f (x)

g (x) = 2 (2) = 4

3) For x=0, f (x) = 6

Substitute

g (x) = 2f (x)

g (x) = 2 (6) = 12

4) For x=1, f (x) = 3

Substitute

g (x) = 2f (x)

g (x) = 2 (3) = 6

4) For x=6, f (x) = -1

Substitute

g (x) = 2f (x)

g (x) = 2 (-1) = -2