Question

The function of f(x) is said to be even if

Answer 1

Answer:

Definition. A function f is an even function if f(x) = f(−x). It is called an odd function if −f(x) = f(−x).

Answer 2

The function of f(x) is said to be even if f( - x) = f(x)

Given :

The function of f(x)

To find :

The condition for f(x) to be even

Solution :

Step 1 of 2 :

Write down the given function

Here the given function is f(x)

Step 2 of 2 :

Write down the condition for f(x) to be even

The function of f(x) is said to be even if f( - x) = f(x)

For example , the function f(x) = x² is an even function

As , f( - x) = (- x)² = x² = f(x)

Additional Information :

A function of f(x) is said to be odd if f( - x) = - f(x)

For example , the function f(x) = x³ is an odd function

As , f( - x) = (- x)³ = - x³ = - f(x)

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