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Question

Express the function f:XR given by f(x)=x3+1 as set of ordered pairs, where X = {-1, 0, 3, 9, 7}.

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Solution

We have, f:XR, f(x)=x3+1
Where X={1,0,3,9,7}
When x = -1, then f(1)=(1)3+1=1+1=0
x=0, then f(0)=(0)3+1=0+1=1
x=3, then f(3)=(3)3+1=27+1=28
x=9, then f(9)=(9)3+1=729+1=730
x=7, then f(7)=(7)3+1=343+1=344
f = {(-1, 0), (0, 1), (3, 28), (9, 730), (7, 344)}
Range of f = {0, 1, 28, 730, 344}


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