Find Whether f (x) = x3 forms A Mapping Or Not?

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

Question

Find whether (x) = x3 forms a mapping or not?

Solution

Correct option is

y = (x) forms a mapping

(x) = x∀ x Ïµ R.

Here all the straight lines drawn parallel to y-axis cut y = x3 only at one point. Thus, y = (x) forms a mapping.

                                                                     

SIMILAR QUESTIONS

Q1

The period of   is

Q2

If (x) and g(x) be periodic and non-periodic function respectively, then f(g(x)) is

 

Q3

Let (x) and g(x) be bijective function where :{a, b, c, d}{1, 2, 3, 4}and g:{3, 4, 5, 6}{w, x, y, z) respectively. The number of elements in the range set of g(f (x)) is

Q4

The polynomial p(x) is such that for any polynomial q(x) we have p(q(x) = q(p(x). Then p(x) is

Q5

If denotes greatest integer function, then

Q6

Infinite set, then period of the function cannot be

Q7

If a polynomial of degree n satisfies 

then (x) is

Q8

 

then

Q9

In the given figure find the domain, co-domain and range.

Q10

Find whether  forms a mapping or not?Find whether  forms a mapping or not?