Answer: The graph is shown below
Explanation:
The f(x) function is piecewise, and it has a double identity depending on what x is.
If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.
The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.
So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.
