Functions Question 509
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]. $