Question

The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.

g(x) = 2f(x)

Answer 1

Given : graph of function f is shown on the coordinate plane

To Find : Graph the line representing function g

g(x) = 2f(x)

Solution:

f(x)  from graph  

f(x) =  (1/2)x   -  3

g(x) = 2 f(x)  =  2 ((1/2)x   -  3 )  =  x  - 6

g(x) = x - 6  

x f(x)  g(x)  

-6 -6 -12

-4 -5 -10

-2 -4 -8

0 -3 -6

2 -2 -4

4 -1 -2

6 0 0

8 1 2

10 2 4

12 3 6

14 4 8

16 5 10

18 6 12

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