Which statement is true about the function f(x)=8^3

Answer :

The function f(x) = 8 is even because f(x)= f(-x).

Given the function is f(x) = 8

Key to find if a function f(x) is even or odd is to replace the x with -x.

if the results comes out to be f(x) then it is even function.

if the results comes out to be -f(x) then it is odd function.

where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.

In given case f(x)= 8

if we replace x with -x in above equation then results is 7

f(-x)= 8

hence f(x)= f(-x) = 8

Therefore, f(x) = 8, is an even function.

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