If a function f is an even function, then what type of symmetry does the graph of f have?
We will use the concept of even function in order to find the symmetry type.
Answer: Even functions have line symmetry. The line of symmetry is the y-axis.
Let us see how we will use the concept of even function in order to find the symmetry type.
We all know that even functions are the function in which when we substitute x by -x, then the value of the function for that particular x does not change.
Hence, for even functions f(x) = f(-x)
Hence, we can conclude that the graph of the function behaves equally for all the points that are on the left of the origin as well as the right of the origin.