Functions Question 712

Question: The image of the interval [1, 3] under the mapping $ f:R\to R, $ given by $ f(x)=2x^{3}-24x+107 $ is

Options:

A) $ [0,89] $

B) $ [75,89] $

C) $ [0,75] $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Since, the given function has minimum value 75 which is attained at x=2 and maximum value 89 which is attained at x=3. Hence, the range of f is $ [75,89]. $