Home
Class 12
MATHS
Graph of functions are given in the fol...

Graph of functions are given in the following figure. Check the functions for absolute extremum.

Text Solution

Verified by Experts

(a) Function has no absolute minima nor absolute maxima.
(b) Function has absolute minima but no absolute maxima.
(c) Function has local maxima at x = 0 as `f(0 - h) f(0+h) lt f(0) (=2)`.
Promotional Banner

Topper's Solved these Questions

  • GETTING STARTED WITH GRAPHS

    CENGAGE PUBLICATION|Exercise Exercises 1.13|1 Videos

  • GETTING STARTED WITH GRAPHS

    CENGAGE PUBLICATION|Exercise Exercises 1.14|1 Videos

  • GETTING STARTED WITH GRAPHS

    CENGAGE PUBLICATION|Exercise Exercises 1.11|1 Videos

  • FUNCTIONS

    CENGAGE PUBLICATION|Exercise Comprehension Type|7 Videos

  • GRAPH OF INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Exercises|18 Videos

Similar Questions

Explore conceptually related problems

The graph of functions are given in the following fingure. Discuss the symmetry.

The graph of a function is shown in the following figure. Determine the intervals on which the function is concave up and the intervals on which it is concave down. Find the x - coordinates of any inflection points.

Which of the following function is even function

Does the following graph represent a function or a relation?

In a given interval a function

Which of the following functions has inverse function?

The function f(x)=sinxcos^(2)x has extremum at -

In a given interval a function-

Which of the following figures cannot be speed-time graph?

Which of the following real valued functions is / are not even functions ?