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{SECT 0 {EXCHG {PARA 243 "" 0 "" {TEXT -1 39 "page 65, Mathematical An
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{TEXT 244 7 "Example" }{TEXT -1 5 ": If " }{TEXT 245 1 "a" }{TEXT -1 
45 " is number in (-1,1) and f(x,a)=(x-a)/(1-ax)." }{TEXT -1 0 "" }}
{PARA 243 "" 0 "" {TEXT -1 107 "(i) Show that f is strictly monotone i
n the interval [-1,1]. [You may use the derivative of f to show this]"
 }}{PARA 243 "" 0 "" {TEXT -1 94 "(ii) Assume f is continuous function
, prove that f is one-one and onto from [-1,1] to [-1,1]. " }}{PARA 
243 "" 0 "" {TEXT -1 37 "**You may use the following template." }}
{PARA 244 "> " 0 "" {MPLTEXT 1 204 31 "f:=proc(x,a) (x-a)/(1-a*x) end;
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