AP Calculus AB Worksheet – Functions, Domain, Range, Piecewise Name __________________________________ Given the function f ( x) 3x2 2 x , evaluate each function at the requested value. f ( 3) f (2) 1 f t f (3t 2 ) f (a 1) f (c h) f (c) h State the natural domain of the given functions. f ( x) f ( x) x2 3 x x h( x) x 1 x2 g( x) sin x State the natural domain and range of given functions. g ( x) 4 x 2 f ( x) 3 h( x) x2 3 f ( x) 3 sin x x Find the value of x given the value of the function. k ( x) 3x 2 , k ( x) a , a6 f ( x) sin 2 x x2 4 , 1 x h(4) 2x b 3 (use a calculator for this problem) if x 3 h(x) g(x) f ( x) b , h(4) h(3) h(t 2 5) if x 3 1 t 1 if t 0 if 0 t 2 t 2 1 if t 2 g(0) g(6) g(2)