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P.5 of 9 3. Consider the functions f (x)=(x-a)(x-b),g(x)=(x-p)(x-q) and h(x)=f( x) g (x ) If axb#p#q , then a) which two functions have the

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P.5 of 9 3. Consider the functions f (x)=(x-a)(x-b),g(x)=(x-p)(x-q) and h(x)=f( x) g (x ) If axb#p#q , then a) which two functions have the same set of zeros? (2 marks) b) does h(x) have any asymptote(s)? What is/are the vertical asymptotes of h (x) if that exists? (3 marks) Part C: Communication (20 marks) 1. Given f(x)=x+5 and g(x)=x +8x+15 Sketch the graph of y=/(*) (5 marks) g (x) Mark the asymptote(s), hole(s), y-intercept(s) if they exist. 10 -10

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