Answer:
Given Function is an even function
Step-by-step explanation:
Explanation:-
Even function :-
A function f is even if the graph of f is symmetric with respective to the y - axis.
Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.
Odd function : -
A function f is odd if the graph of f is symmetric with respective to the origin
Algebraically, f is odd if and only if f(-x) = - f(x) for all x in the domain of f.
given function is [tex]f(x) = 3 x^2-1[/tex]
[tex]f(-x) = 3 (-x)^2-1=3 x^2 -1 = f(x)[/tex]
therefore f(-x) = f(x)
given function is an even function.
