Question

prove why the function is even with the green highlighted formulathen show where the line of symmetry is at show all work

Answer 1

Here, the given function is f(x)=c.

Check whether the function is odd or even.

$\begin{gathered} f(-x)=c \\ =f(x) \end{gathered}$

Here, the out put of the function is constant whether it is +x or -x.

So, the function is even.

The graph of the function f(x)=c is shown below.

From, the graph, for any values of x there is a constant val;ue of y.

The function is symmetric with respect to y axis.