Proofs Recall the following definitions from algebra regarding even and odd functions: A function f(x) is even if f(-x) = f(x), for each x in the domain of f. . A function f(x) is odd if f(-x) = -f(x), for each x in the domain of f. Also, keep in mind for future reference that the graph of an even function is symmetric about the y-axis and the graph of an odd function is symmetric about the origin. The following show that the given algebraic function f is an even functions. In Project 2 you will need to show whether the basic trigonometric functions are even or odd. Statement: Show that f(x)= 3x - 2x² + 5 is an even function. Proof: If x is any real number, then f(-x)=3(-x)* -2(-x)² +5 = 3x¹2x² +5 = f(x) and thus fis even. Now you should prove the following in a similar manner. (1) (2) Statement: If g(x)=2x5-7x³ + 4x, show that g is an odd function. Statement: Determine whether h(x) = √25-x is either even or odd.