Question

Graph the following function using transformations. Find the vertical and horizontal asymptotes. State the domain and range
f(x)= - 1/x+2

Answer 1

start with
\[y=\frac{1}{x}\] then translate 2 units left to get
\[\frac{1}{x+2}\] the flip about x axis to get
\[y=-\frac{1}{x+2}\]

Answer 2

horizontal asymptote is
\[y=0\] since the degree of the denominator is bigger than the degree of the numerator.
vertical asymptote is
\[x=-2\] since you are not allowed to divide by zero

Answer 3

then this would be my answer