The graph that represents the given function is; the fourth graph which is option D.
We are looking at the function;
f(x) = [1/(x + 3)] - 2
Simplifying this function will give us;
f(x) = (-2x - 5)/(x + 3)
Putting x = 0, we have;
f(0) = (-2(0) - 5)/(0 + 3)
f(0) = -5/3
Thus, the y-intercept is -5/3
At f(x) = 0, we will get the x-intercept as -2.5
For the vertical asymptote, equate the denominator to 0 to get;
x + 3 = 0
x = -3
Looking at the given graphs as seen online, the one that represents the given function is the fourth graph which is option D.
Read more about Function Graphs at; https://brainly.com/question/4025726
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