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Consider the function f(x)=(x²-1)/(x²+3x+2)

a) Identify any asymptotes and/or holes. If there are any vertical asymptotes, state the behaviour of the graph on both sides. 

b) State the domain and range. 

c) Graph f(x).

 Apr 7, 2023
 #1
avatar+118616 
+1

f(x)=(x²-1)/(x²+3x+2)

 

\(f(x)=\frac{(x²-1)}{(x²+3x+2)}\\ f(x)=\frac{(x-1)(x+1)}{(x+2)(x+1)}\\ \text{there is a hole at x=1 because you cannot divide by 0}\\ f(x)=\frac{(x-1)}{(x+2)}\\ \text{There is an asymptote at x=-2} \)

 

 

You can finish it :)

 Apr 8, 2023

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