MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Range

If A=1,2,3,4,...

Question

If $A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5....25}$ and $f : A \to B$ is a function such that $f (x) = x^{2},$ then the number of elements in the range of $f (x)$ is

Open in App

Solution

$∵ f (x) = x^{2}$ and $f : A \to B$
$∴$ range is
$f (A) = {1, 4, 9, 16}$
Hence required number of element $= 4$

Suggest Corrections

thumbs-up

0

Similar questions

A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5....25}

f : A \to B

is a function such that

f (x) = x^{2},

then the number of elements in the range of

f (x)

A = {x : | x | \leq 5; x \in Z - {0}}

B = {x : x \leq 100; x \in W}

f : A \to B

is a function defined by

f (x) = x^{2} + 1

, then the number of elements in the range of

f

[5, 26)

Q. If A={1,2,3,4} and

f : A \to R

is a function defined by

f (x) = \frac{x^{2} - x + 1}{x + 1}

then find the range of 'f'

Q. Find the domain and range of the function

f (x) = \sqrt{x^{2} - 25}

f (x) = \sqrt{25 - x^{2}}

f : A \to A

, then range of

f

A = {1, 2, 3, 4}

f (x) = x^{2} + x + 2

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon