Question

Describe the features of the graph of f(x)=x+4/x-1

Answer 1

The graph of the function f(x)=x+4/x-1 has a vertical asymptote at x=1 and a horizontal asymptote at y=x. The graph is symmetric about the line y=x. The function has a hole at (1,5) where the vertical asymptote is located.

Answer 2

The features of the graph of the function is (d)

Describing the features of the graph of the function

From the question, we have the following parameters that can be used in our computation:

f(x) = (x + 4)/(x - 1)

For the vertical asymptote, we set the denominator to 0

So, we have

x - 1 = 0

Evaluate

x = 1

For the horizontal asymptote, we set y to 0

So, we have

y = 0

Hence, the graph of f(x) = (x + 4)/(x - 1) has its asymptotes at x = 1 and y = 0