Question

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

Answer 1

see the explanation

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