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Express the following functions as set of ordered pairs and determine their range.

f: X \rightarrow R, f (x) = x^3 + 1, where X = \left \{-1, 0, 3, 9, 7\right \}

Answers (1)

Given data: F: x \rightarrow R, f(x) = x^3 + 1, where, x = \left \{-1,0,3,9,7\right \}

We know that, here, x = \left \{-1,0,3,9,7\right \}

For x = -1,

f(-1)^3 + 1 = 0

For x = 0,

f(0) = (0)^3 + 1 = 1

For x = 3,

f(3) = (3)^3 + 1 = 28

For x = 9,

F(9) = (9)^3 + 1 = 730

For x = 7,

F(7) = (7)^3 + 1 = 344

Thus, (-1,0),(0,1),(3,28),(7,344) \& (9,730) are the ordered pairs &

Range = \left \{0,1,28,344,730\right \}.

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