Even and Odd Functions[br][br]An even function is one that is symmetric about the y axis. Such functions have the property that f(x) = f(-x).[br]An odd function is one that is symmetric with respect to rotation by 180 degrees around the origin. [br]Odd functions have the property that f(x) = - f(-x).[br][br]In this environment you can explore this behavior for linear, quadratic and cubic polynomials, [br]as well as for exponential and absolute value functions. [br]Any of these functions can be seen as a combination of even and odd functions.[br][br]You can enter a polynomial of your choice by dragging “rings” around the screen. [br]The environment will display the even and odd functions that can be combined to make your function.[br][br]In the case of exponential functions you can drag a ring to fix the intercept of the function with the y axis [br]and adjust a slider to fix the growth or decay of the exponential.[br][br]In the case of absolute value functions, you can drag a ring to position the vertex [br]and use a slider to fix the slope of the sides.[br][br]Challenge – Given a function, how can you calculate the even and odd functions that combine to make that function?