Home
Class 12
MATHS
Draw the graph and find the points of di...

Draw the graph and find the points of discontinuity for `f(x)=[x^(2)-x-1],x in[-1,2]` ([.] represents the greatest integer function).

Text Solution

Verified by Experts

`f(x)=[x^(2)-x-1], x in [-1,2]`
Let us first draw the graph of `y=x^(2) -x-1,` which is upward parabola having vertex at `(1//2, -5//4)`

The graph of `f(x)=[x^(2)-x-1]` can be drawn as shown in the following figure.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise Single Correct Answer Type|125 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise Multiple Correct Answer Type|27 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.14|13 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Draw the graph and find the points of discontinuity f(x) = [2cos x] , x in [0, 2pi] . ([.] represents the greatest integer function.)

Draw the graph and find the points of discontinuity f(x) = [2cos x] , x in [0, 2pi] . ([.] represents the greatest integer function.)

Draw the graph and find the points of discontinuity f(x) = [2cos x] , x in [0, 2pi] . ([.] represents the greatest integer function.)

Find the number of points of discontinuity for f(x)=[6sinx],0lt=pi([dot] represents the greatest integer function).

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1],w h e r e[dot] represents the greatest integer function

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

Find the domain of the function f(x)=(1)/([x]^(2)-7[x]-8) , where [.] represents the greatest integer function.

If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

Draw the graph of y=[4-x^(2)],|x|le2 , where [.] represents the greatest integer function.