Question

The graph of the function f is shown. The domain of f is [0,50]. What is the range of g(x)=4f(x)?

Answer 1

The range of
`g(x)` is
`[0,7]`.

Explanation:

We must remember that range of function
`f(x)` corresponds to the set of values of
`y` in the graph (+y direction). Given that
`g(x)` is a stretched version of
`f(x)`, the range of
`g(x)` corresponds to the range of
`f(x)` multiplied by 4. Then,

`Ran\{g(x)\} = 4\cdot Ran\{f(x)\}`

`Ran\{g(x)\} = 4\cdot [0,1.75]`

`Ran\{g(x)\} = [0, 7]`

The range of
`g(x)` is
`[0,7]`.