Home
Class 11
MATHS
Re define the function f(x)=|x-2|+|2+x|...

Re define the function `f(x)=|x-2|+|2+x|,-3lexle3`

Text Solution

AI Generated Solution

To redefine the function \( f(x) = |x - 2| + |2 + x| \) for the interval \( -3 \leq x \leq 3 \), we will analyze the function by breaking it down into different intervals based on the points where the expressions inside the absolute values change sign. ### Step-by-Step Solution: 1. **Identify Critical Points**: The critical points occur when the expressions inside the absolute values are zero. - For \( |x - 2| \): The critical point is \( x = 2 \). - For \( |2 + x| \): The critical point is \( x = -2 \). ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR ENGLISH|Exercise FILLERS|2 Videos

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR ENGLISH|Exercise True /False|5 Videos

  • PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise Matching The Columns|2 Videos

  • SEQUENCE AND SERIES

    NCERT EXEMPLAR ENGLISH|Exercise Match the comumms|2 Videos

Similar Questions

Explore conceptually related problems

Plot the following, where [.] denotes integer function. f(x)=[x^(2)]," whe "-2lexle2

Draw the graph of function. y=|4-x^(2)|,-3lexle3 .

Consider the function f(x)=x^(3)-8x^(2)+20x-13 The function f(x) defined for R to R

Discuss the applicability of Rolle's theorem on the function given by f(x) = {{:(x^(2)+1,if0lexle1),(3-x,if1lexle2):}

Find the domain of the function defined as f(x) = (x^(2) + 14x + 9)/(x^(2) -4x + 3) , where x in R .

If a funciton f(x) is defined for x in [0,1] , then the function f(2x+3) is defined for

Let f : N rarr R be the function defined by f(x) = (2x-1)/(2) and g : Q rarr R be another function defined by g(x) = x + 2. Then (gof) ((3)/(2)) is

Let f:N rarr R be the function defined by f(x)=(2x-1)/2 and g:Q rarr Q be another function defined by g(x)=x+2 then (gof)(3/2) is

Find the value of a if the function f(x) defined by f(x)={2x-a, ,x 2 if function continuous at x=2

Find the range of f(x)=x^(2)-3x+2,0lexle4