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

the range of g(x) is [0, 7]

Step-by-step explanation:

The domain is the set of the possible values of y.

We can see that, for y = f(x) in the domain [0, 50]

The smallest possible value of y is 0, and the largest possible value of y is 1.75 (at x = 25).

Then the range of f(x) is [0, 1.75]

Now, if we have the function g(x) = f(x)*4

Let's analyze the possible values of g(x) in these extremes of the range of f(x).

when f(x) is in the minimum, f(x) = 0, we have that g(x) is:

g(x) = f(x)*4 = 0*4 = 0.

So 0 is the minimum in the range of g(x).

Now, for the maximum of f(x) (f(x) = 1.75) we have:

g(x) = f(x)*4 = 1.75*4 = 7

Then the range of g(x) is [0, 7]

x-3y=4

step-by-step e

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