Question

Express the following functions as sets of ordered pairs and determine their range a) f : A →R, f(x) = x2 + 1, where A = { -1,0,2,4}

Answer 1

SOLUTION

TO DETERMINE

Express the following functions as sets of ordered pairs and determine their range f : A → R, f(x) = x² + 1, where A = { -1,0,2,4}

EVALUATION

Here the given set is A = { -1,0,2,4}

The function f is defined as f : A → R,

f(x) = x² + 1

Now

f(-1) = (-1)² + 1 = 1 + 1 = 2

f(0) = (0)² + 1 = 0 + 1 = 1

f(2) = (2)² + 1 = 4 + 1 = 5

f(4) = (4)² + 1 = 16 + 1 = 17

Thus

f = { (-1,2) , (0,1) , (2,5) , (4,17) }

∴ Range of f = { 2 , 1 , 5 , 17 }

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