Question Type 3: Graphing different rational functions, including the intercepts and the asymptotes Bootcamps

Sketch the graph of $f(x)=\frac{5}{x+2}$. State its intercepts and asymptotes.

Graph $f(x)=\frac{2x+3}{x-1}$. Determine its intercepts and all asymptotes.

Sketch the graph of the function $f(x)=\frac{5x+8}{7x+9}$. Find its domain, x-intercept, y-intercept, vertical asymptote, and horizontal asymptote.

Graph $f(x)=\frac{3x-1}{2x+5}$. Find its domain, intercepts, and asymptotes.

For $f(x)=\frac{x^2-4}{x-2}$, find any holes, intercepts, and asymptotes, then sketch the graph.

Sketch $f(x)=\frac{x^2+x-6}{x+3}$. Identify the domain, holes or asymptotes, and intercepts.

Graph $f(x)=\frac{x^2+4x+3}{x+1}$. Find domain, intercepts, holes or asymptotes, then sketch.

For $f(x)=\frac{2x^2-3x+1}{x-1}$, find intercepts, asymptotes (vertical and oblique), and graph it.

Sketch $f(x)=\frac{x^2-9}{x^2-4}$. Determine all intercepts, vertical asymptotes, horizontal asymptote, and any holes.

Graph the function $f(x)=\frac{4x^2+2x-3}{2x-1}$. Find its intercepts, vertical and oblique asymptote.

For $f(x)=\frac{3x^2-5x+2}{x-2}$, determine intercepts, asymptotes (vertical and oblique), and sketch the graph.

Sketch $f(x)=\frac{x^3-1}{x^2-1}$. Identify domain, holes, vertical asymptotes, oblique asymptote, and intercepts.