- Identify where the graph \(f(x)=\dfrac{x^2-1}{x-1}\) is not continuous. (1 mark)
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- Sketch the graph of \(f(x)\). (2 marks)
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a. \(f(x)=\dfrac{x^2-1}{x-1}=\dfrac{(x+1)(x-1)}{(x-1)}=x+1\)
\(\text{Since denominator} \neq 0\)
\(f(x) \ \ \text{is not continuous when} \ \ x=1.\)
b.
Show Worked Solution
a. \(f(x)=\dfrac{x^2-1}{x-1}=\dfrac{(x+1)(x-1)}{(x-1)}=x+1\)
\(\text{Since denominator} \neq 0\)
\(f(x) \ \ \text{is not continuous when} \ \ x=1.\)
b.