Let $A = {1, 2, 3, 4, 5} B = N$ and $f : A \to B$ be defined by $f (x) = x^{2}$ . Find the range of $f$ . Identify the type of function

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Solution

Given, $f (x) = x^{2}$ and $A = {1, 2, 3, 4, 5}$
$f (1) = 1^{2} = 1$
$f (2) = 2^{2} = 4$
$f (3) = 3^{2} = 9$
$f (4) = 4^{2} = 16$
$f (5) = 5^{2} = 25$
Range of $f = {1, 4, 9, 16, 25}$
$f$ is one-one function (since different elements in $A$ have different images in $B$ ).

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Let A={1,2,3,4,5}B=N and f:A→B be defined by f(x)=x2. Find the range of f. Identify the type of function

Given, f(x)=x2 and A={1,2,3,4,5}f(1)=12=1f(2)=22=4f(3)=32=9f(4)=42=16f(5)=52=25Range of f={1,4,9,16,25}f is one-one function (since different elements in A have different images in B).

Let $A = {1, 2, 3, 4, 5} B = N$ and $f : A \to B$ be defined by $f (x) = x^{2}$ . Find the range of $f$ . Identify the type of function

Given, $f (x) = x^{2}$ and $A = {1, 2, 3, 4, 5}$
$f (1) = 1^{2} = 1$
$f (2) = 2^{2} = 4$
$f (3) = 3^{2} = 9$
$f (4) = 4^{2} = 16$
$f (5) = 5^{2} = 25$
Range of $f = {1, 4, 9, 16, 25}$
$f$ is one-one function (since different elements in $A$ have different images in $B$ ).