Home
Class 12
MATHS
f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x","...

`f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x",",2ltxle3):}`
Which of the following statements is /are correct?
1. f(x) is increasing in the interval [-1,2].
2. f(x) is decreasing in the interval (2,3].
Select the correct answer using the code given below:

Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)={{:(3x^(2)+12x-1",",-1lexle2),(37-x",",2ltxle3):} , Then

If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}

If f(x)=3x^(2)+12x-1,-1lexle2,=37-x,2ltxle3 , then :

Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| Which of the following statement is/are correct? 1. g(x) is differentiable x=0. g(x) is differentiable at x=2. Select the correct aswer using the code given below:

If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x le 3):} , show that f(x) is increasing in [-1, 2]

Find the intervals in which f(x) = 2x^(3) - 9x^(2) - 12 x -3 is increasing and the intervals in which f(x) is decreasing.