If f(x) is an even function, then the cu...

If f(x) is an even function, then the curve y=f(x) is symmetric about

x-axis

y-axis

both the axes

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

REAL FUNCTIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos
REAL FUNCTIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|8 Videos
PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos
SCALAR AND VECTOR PRODUCTS OF THREE VECTORS
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|63 Videos

Similar Questions

Explore conceptually related problems

If f(x) is an odd function, then the curve y=f(x) is symmetric

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1 +x) then (1) g(x) is an odd function (2) g(x) is an even function (3) graph of f(x) is symmetrical about the line x= 1 (4) f'(1)=0

If f(x) is an even function, then write whether f^(prime)(x) is even or odd.

If f(x) is an even function then find the number of distinct real numbers x such that f(x)=f((x+1)/(x+2)).

If f is an even function, then find the realvalues of x satisfying the equation f(x)=f((x+1)/(x+2))

Let f(x)=(ax^2+bx+c)/(x^2+1) such that y=-2 is an asymptote of the curve y=f(x) . The curve y=f(x) is symmetric about Y-axis and its maximum values is 4. Let h(x)=f(x)-g(x) ,where f(x)=sin^4 pi x and g(x)=log_(e)x . Let x_(0),x_(1),x_(2)...x_(n+1) be the roots of f(x)=g(x) in increasing order Then, the absolute area enclosed by y=f(x) and y=g(x) is given by

If f(x) is a linear function and the slope of y=f(x) is (1)/(2) , what is the slope of y = f^(-1)(x) ?

Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even function.

Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and STATEMENT 2 : g(x)=f'(x) is an even function , then f(x) is an odd function.

OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise

If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...
Text Solution
|
If f(x)=2x^(6)+3x^(4)+4x^(2) , then f'(x) is
Text Solution
|
If f(x) is an even function, then the curve y=f(x) is symmetric about
Text Solution
|
If f(x) is an odd function, then the curve y=f(x) is symmetric
Text Solution
|
Which of the following function is periodic ?
Text Solution
|
Let the function f(x)=x^(2)+x+sinx- cosx+log(1+|x|) be defined on the ...
Text Solution
|
The domain of definition of the function f(x)=(7- x)P(x-3) , is
Text Solution
|
The range of function f(x)=^(7-x)P(x-3)i s (a) {1,2,3} (b) {1,2...
Text Solution
|
The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a)[-2,6] ...
Text Solution
|
If D is the set of all real x such that 1-e^((1)/(x)-1) is positive , ...
Text Solution
|
Which of the following functions has period 2pi ?
Text Solution
|
If f(x)=a^x, which of the following equalities do not hold ? (i) f(...
Text Solution
|
The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...
Text Solution
|
Let f(x)=|x-1|. Then,
Text Solution
|
The function f: C -> C defined by f(x) = (ax+b)/(cx+d) for x in C wher...
Text Solution
|
If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...
Text Solution
|
(1+2(x+4)^(- 0. 5))/(2-(x+4)^(0. 5))+5(x+4)^(0. 5) Find the domain of...
Text Solution
|
Which of the following functions is not an are not an injective map(s)...
Text Solution
|
The maximum possible domain and thecorresponding range of f(x)=(-1)^x
Text Solution
|
If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...
Text Solution
|