Question

The graph of f(x) is shown. Sketch the graphs of the following functions.2f(x)

Answer 1

To graph the function we consider the points (-3,-2), (3,0), and (5,7).

The new function will be:

$g(x)=2f(x)$

therefore:

$\begin{gathered} g(-3)=2f(-3)=2(-2)=-4, \\ g(3)=2f(3)=2(0)=0, \\ g(5)=2f(5)=2(7)=14. \end{gathered}$

Answer: