Determine whether the relation represents y as a function of x. Domain, x Range, y 2 5 1 6 O 7 1 8 2 0 Yes O No Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) h(t) = t2 + t + 1 (a) h(3) (b) h(-l) (c) h(x+ 1) Find the domain of the function. 6 \"00 = 4x 0 all real numbers except X = 4 0 all real numbers except X = O and X = 4 0 all real numbers except X = 4 0 all real numbers except X = O and X = 4 0 all real numbers except X = O Find the domain of the function. f(s) = _"'S'1 s 5 0 all real numbers 5 such that s 2 1 excepts 0 all real numbers 5 such that s s 5 except 5 0 all real numbers 5 excepts = 1 and s = 5 0 all real numbers 5 such that s 2 5 0 all real numbers 5 such that s s 5 Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.) domain range Use the graph to find the indicated function values. (a) f 0. (a) h(x) = f(x) + c O a horizontal shift of f, c units to the right 0 a vertical shift of f, c units down 0 a horizontal shift of f, c units to the left 0 a vertical shift off, c units up (b) h(X) = 1'00 - C O a horizontal shift of f, c units to the right 0 a vertical shift off, c units down 0 a horizontal shift of f, c units to the left 0 a vertical shift off, c units up (c) h(x) = f(x + c) O a horizontal shift of f, c units to the right 0 a vertical shift off, c units down 0 a horizontal shift off, c units to the left 0 a vertical shift off, c units up (d) h(X) = f(X - C) O a horizontal shift of f, c units to the right 0 a vertical shift of f, c units down 0 a horizontal shift of f, c units to the left 0 a vertical shift of f, c units up Use the graph of f(x) = x2 to write an equation for the function represented by each graph. (a) y (b) 4 2 4 -2 2 X 4 -2/ -4 y =Write an equation for the function whose graph is described. The shape of f(x) = x2, but shifted four units to the right and seven units down Find fag and 901'. 11X) = \\/x 3, g(x) = x2 (a) 1'09 (b) 9f E Find the domain of each function and each composite function. (Enter your answers using interval notation.) domain of f domain ofg domain of f o 9 HM domain ofg o f Determine whether the function has an inverse function. f( x) = 7x+2 O Yes, f does have an inverse. O No, f does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) f-1 (x ) :Find a mathematical model that represents the statement. (Determine the constant of proportionality.) z varies directly as the square of x and inversely as y. (z = 15 when x = 15 and y = 12.)