Q. 345.0( 2 Votes )

# The domain and ra

Answer :

Given: f(x) = 2–|x −5|

To find: the domain and range of function

Explanation: So the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain

Given,

f(x) = 2–|x −5|

Now x is defined for all real numbers

Hence the domain of f is R

And the range of a function consists of all the second elements of all the ordered pairs, i.e., f(x), so we have to find the values of f(x) to get the required range

Now we know

|x-5|≥0

or

-|x-5|≤0

Adding 2 we get

2-|x-5|≤2

f(x)≤2

Hence the range of f = (-∞, 2]

Hence the correct answer is option (B)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

<span lang="EN-USRS Aggarwal - Mathematics

Find the doRS Aggarwal - Mathematics

Find the domain oMathematics - Exemplar

The domain of theMathematics - Exemplar

Fill in theMathematics - Exemplar

Domain of <span lMathematics - Exemplar

Fill in theMathematics - Exemplar

The domain for whMathematics - Exemplar

<span lang="EN-USRS Aggarwal - Mathematics

Find the doRS Aggarwal - Mathematics