The graph of the function 1/x plotted from the function's properties is attached
How to determine the graph of the rational function
From the question, we have the following parameters that can be used in our computation:
1/x
Express as a function
So, we have
f(x) = 1/x
The properties of the above function are as follows:
The vertical asymptote
To do this, we et the denominator to 0
x = 0
Evaluate
x = 0
So, the function’s vertical asymptotes is x = 0
Because the degree of the numerator is less than the degree of the denominator,
The function has y = 0 as its horizontal asymptote
For the y-intercept of the function,, we set x = 0
So, we have
f(0) = 1/0
Evaluate
f(0) = undefined
So, the y-intercept of f(x) is undefined
To find the x-intercept of the function, we set y = 0
So, we have
1/x = 0
Evaluate
1 = 0
So, the x-intercept of the function does not exist
The graph of the function is attached