Let A = {-2, -1, 0, 1, 2} and function f is defined in A to R by f(x)

1.	Let A = {-2, -1, 0, 1, 2} and function f is defined in A to R by f(x) = x2 + 1. Find the range of f.
Answer» Given, A = {-2, -1, 0, 1, 2} and R = set of real numbers Given: f(x) = x² + 1 then f(-2) = (-2)² + 1 = 5 f(-1) = (-1)² + 1 = 2 f(0) = (0)² + 1 = 1 f(1) = (1)² + 1 = 2 f(2) = (2)² + 1 = 5 Hence, range of f = (1, 2, 5}

Let A = {-2, -1, 0, 1, 2} and function f is defined in A to R by f(x) = x2 + 1. Find the range of f.

Answer»

Given, A = {-2, -1, 0, 1, 2}

and R = set of real numbers

Given: f(x) = x² + 1

then f(-2) = (-2)² + 1 = 5

f(-1) = (-1)² + 1 = 2

f(0) = (0)² + 1 = 1

f(1) = (1)² + 1 = 2

f(2) = (2)² + 1 = 5

Hence, range of f = (1, 2, 5}