Find the domain and range of the following real functions:
(i) $f(x)=-|x|$
(ii) $f(x)=\sqrt{9-x^{2}}$.

Answer

Related Courses

Algebra

NCERT Class 11 - Math

Chapter 2

Relations and Functions

Section 3

Relations

Discussion

You must be signed in to discuss.

Top Algebra Educators

Watch More Solved Questions in Chapter 2

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Video Transcript

in this kitchen in Cuban in part post function F. Of X equal to And I do models X. So here we have to find the domain and range of the function. So here we know that more religious X. X. Is positive. Yeah. X. Greater than and equal to shell access negative. Yeah. X. Less than equal to therefore at fault. Okay, Equal to morning. This act equal to please put here negative Models X. So here negative X. If eggs Greater than and equal to zero. Father do eggs if acts less than equal to ceo. Since F. O. X. Is defined for all olympic eggs element of our the domain of F is all. So here you can see that all the real values of acts, the values of models acts always remain positive and therefore the values all negative Model is eggs always B negative hands. The range is negative, infinity. To seal it is over. Final answer for part first. Now we sold part 2nd given up of X equal to squared off nine. Now you do x square. So here we have to find the domain and range of the function. So here for the domain of em nine negative X square better than better than and equal to see you. So here again nine greater than and equal to access quite so X greater than and equal to 93 x less than equal to three. Therefore domain equal to X. Such that X greater than equal to three X less than equal to three where eggs element of or range of the function equal to. So here for any value of X. Such that X greater than equal to 93, acts less than equal to three. The value of FFX will be between zero 23 So here range of X equal to tags such that eggs Greater than and equal to zero X less than equal to three where eggs element of or so it is our final answer for parts second.

Get More Help with this Textbook