1
Question
Let A={5,6,7,8};B={−11,4,7,−10,−7,−9,−13} and f = {(x, y); y = 3 - 2x, x ε A, y ε B}
(i) Write down the elements of f.
(ii) What is the range?
(i) Write down the elements of f.
(ii) What is the range?
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Solution
Given, y=3−2x(=f(x))
⇒f(5)=3−2(5)=3−10=−7
⇒f(6)=3−2(6)=3−12=−9
⇒(7)=3−2(7)=3−14=−11
⇒f(8)=3−2(8)=3−16=−13
(i) f={(5,7),(6,−9),(7,−11),(8,−13)}
(ii) Range =−7,−9,−11,−13
⇒f(5)=3−2(5)=3−10=−7
⇒f(6)=3−2(6)=3−12=−9
⇒(7)=3−2(7)=3−14=−11
⇒f(8)=3−2(8)=3−16=−13
(i) f={(5,7),(6,−9),(7,−11),(8,−13)}
(ii) Range =−7,−9,−11,−13
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