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

Answer:

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

Step-by-step 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 $[0,7]$.