Functions

Calculus Level 4

Consider the function y : R ↦ R y : \mathbb{R} \mapsto \mathbb{R} , y = x 3 + a x 2 + 4 x + sin ⁡ x y=x^{3}+ax^{2}+4x+\sin x Where a ≥ 0 a \geq 0 .

This function is:

Neither onto nor one one One one but not onto Bijective function Onto but not one one

Kïñshük Sïñgh by Kïñshük Sïñgh , 28, India

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1 solution

Mohit Kuri
Oct 6, 2014

It should be a>=0 and it is Onto as it is odd degree polynomial an d differentiating the expression we get that it is alwalys positive

1 Helpful 0 Interesting 0 Brilliant 0 Confused

How is this true?? I used a graphing app and on increasing the value of a the function gets many one .

Igni Soul - 3 years, 8 months ago

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