Find the domain range of f(x)=1+x^2+x^3

Asked by Kalyanrao Chavan | 30th May, 2014, 10:17: PM

Expert Answer:

D o m a i n space o f space f space i s space t h e space s e t space o f space a l l space t h o s e space r e a l space n u m b e r s space f o r space w h i c h space t h e space e x p r e s s i o n space f o r space f left parenthesis x right parenthesis space a s s u m e s space r e a l space v a l u e s. H e r e comma space f open parentheses x close parentheses equals 1 plus x squared plus x cubed. H e r e comma x space a s s u m e s space a l l space r e a l space v a l u e s comma space t h a t space space i s space x element of R. T h u s comma space d o m a i n space o f space f open parentheses x close parentheses space i s space R.  R a n g e space o f space f space i s space t h e space s e t space o f space a l l space r e a l space v a l u e s space t a k e n space b y space f left parenthesis x right parenthesis space a t space p o i n t s space i n space i t s space d o m a i n. L e t space y equals f open parentheses x close parentheses equals 1 plus x squared plus x cubed. H e r e comma space y equals f open parentheses x close parentheses space a s s u m e s space a l l space r e a l space v a l u e s space o f space x element of R T h u s comma space r a n g e space o f space f space i s space t h e space s e t space o f space a l l space r e a l space n u m b e r s.

Answered by Vimala Ramamurthy | 31st May, 2014, 12:24: PM