Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function. (a) f(X) = '095(X) , power function - algebraic function , logarithmic function - polynomial function of degree 2 , rational function - exponential function , trigonometric function , root function (b) 9(X) = V; , logarithmic function , polynomial function of degree 2 - root function , exponential function , rational function , trigonometric function 2x3 7x2 , polynomial of degree 2 (C) ho!) = , root function , rational function , power function , exponential function , logarithmic function , trigonometric function (d) u(t) = 1 1.1: + 2.55:2 , exponential function , root function , trigonometric function - polynomial function of degree 2 , power function , logarithmic function (e) V(t) = 3* - root function , logarithmic function , power function , trigonometric function - exponential function (f) w(6) = sin(9) cos4(a) , polynomial function of degree 2 , trigonometric function , algebraic function , exponential function , power function , rational function - root function , logarithmic function Match each equation with its graph. Explain your choices. (Don't use a computer or graphing calculator.) Many physical quantities are connected by inverse square laws, that is, by power functions of the form fol) = IO(_2. In particular, the illumination ofan object by a light source is inversely proportional to the square of the distance from the souroe. Suppose that alter dark you are in a room with just one lam and you are trylng to read a book The light ls too dlm and so you move halfway to the lamp. How much brighter ls the Ilght? times as brlght Determine whether the statement is true or false. If f(5) = t), then s = t. True False