Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

The function f:R->R defined by f(x) =(x-a)(x-b)(x-c) where a,b,c included in R

a) not one-one but onto
b)one-one but not onto
c)both one-one and onto
d)neither one-one nor onto



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
This function is not an one-one function as for x=a,b and c, the functional value is 0. As f(a) = f(b), but a≠b, it is not an one-one function.

It is a unto function as its range is R. For x=-∞, f(x) can be -∞ and for x=∞, f(x) can be ∞. And since it is a continuous function, all the real numbers are its range. 

So the function is not one-one but onto. answer is (a).
0 0 0
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts