10-21-2024 - Pedro Ramirez Maldonado | Library

A vertical asymptote (VA) is an invisible line that a graph approaches but never touches. It is represented by a vertical dotted line and can appear to coincide with a function's graph. VAs are important when graphing functions and can occur when x can't equal a certain value. For example, if you graph
𝑦=1/𝑥, you'll see that x can't equal zero, so there is a VA at 𝑥=0.

I can graph rational functions

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Answer the questions based on the function f(x)=\frac{1}{x}

f(-2)=_______ 
f(-1)=_______ 
f(0)=_______ 
f(1)=_______ 
f(2)=_______ 

Graph f(x)=\frac{1}{x-3}

Graph f(x)=\frac{1}{x+2}-4

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Graph f(x)=\frac{4x}{x-3}

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