Question

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

Solution

Correct option is

Let us consider an ellipse  

                     

Here straight lines drawn parallel to y-axis meets the curve at more than one point. Thus,  does not form a mapping.                                                                           

                                                                                

 

SIMILAR QUESTIONS

Q1

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

 

Q2

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

Q3

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

Q4

If denotes greatest integer function, then

Q5

Infinite set, then period of the function cannot be

Q6

If a polynomial of degree n satisfies 

then (x) is

Q7

 

then

Q8

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

Q9

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

Q10

Find the domain of single valued function y = (x) given by the equation 10x + 10y = 10.