SOLUTION: Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f(x) = f(-x) for all x in the domain of f, then the g

Algebra ->  Functions -> SOLUTION: Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f(x) = f(-x) for all x in the domain of f, then the g      Log On


   



Question 1090064: Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If f(x) = f(-x) for all x in the domain of f, then the graph of f is symmetric with respect to the y-axis

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a definition of an even function, like a parabola.
f(x)=x^2
x=2, f(x)=4
x=-2, f(-x)=4