Question

Q.1. If the function f(x) = f(-x) then the function f(x) is called as ---------------- *

Answer 1

Answer:

even function.

Step-by-step explanation:

this type of function is called even function

Answer 2

Given:

f(x)=f(-x)

To Find:

Type of the function

Solution:

The function in which f of x is equal to f of (-x) is an even function. It is positive for all the values of x. So the given function is an even function.

Some other examples of even function,

$x^{2} ,x^{4} , cos(x)$ etc.

The function in which f of x is equal to -f of x that is f(x)=-f(x) is called an odd function.

For example

$x^{3} ,x^{5} ,sinx$ etc.

Hence, the function f(x) is called an even function.