## Question

###### Graph the rational function f(x) by answering the following questions Answer each question and graph the function.x2 _ 4x - 5 f(x) = X-3Factor the function. What are the domain restrictions?Simplify if possible: Find the vertical asymptote(s) ofthe function. Add this feature to the graph:Based on degree of the numerator and denominator; will this function have a horizontal asymptote? If so, what is it?Use long division to find the oblique asymptote of the function:Does the function cross the obl

Graph the rational function f(x) by answering the following questions Answer each question and graph the function. x2 _ 4x - 5 f(x) = X-3 Factor the function. What are the domain restrictions? Simplify if possible: Find the vertical asymptote(s) ofthe function. Add this feature to the graph: Based on degree of the numerator and denominator; will this function have a horizontal asymptote? If so, what is it? Use long division to find the oblique asymptote of the function: Does the function cross the oblique asymptote? If so, when? Place a point on the graph if this occurs. Find the x- and y-intercepts Place them On the graph: Look at the sections of the graph formed by the asymptotes Notice that we have already found important coordinates in each of the sections: The curves must stay very close to the asymptotes as x approaches infinity and negative infinity. In the left section of the coordinate plane, we can connect our curve through the intercepts and sketch it closely approaching each asymptote: In the right section of the coordinate plane, we know that the curve does not cross the oblique asymptote_ so it must g0 through the intercept and then closely approach the oblique and vertical asymptotes. Sketch the curves of your function