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f(x) = mx + b linear function f(x) = b constant function f(x) = x2 quadratic function f(x) = x3 cubic function f(x) = x radical function x f ( x) 2 32 1 4 0 0 1 4 2 32 If n is even f(x) = xn is similar to the parabola y = x2. If n is odd f(x) = xn is similar to that of y = x3. f ( x) 4 x x f ( x) 2 0 1 1.73 0 2 1 1.73 2 0 2 x0 x 4 f ( x) 4 x 2 0<x 2 x 4 x > 2 x f ( x) 1 3 0 4 1 3 2 0 3 4 1 0 f ( x) 6 x x 2 f ( x) 1 12 6 0 0 1 6 2 12 The cost of a long-distance call from Toronto to Mumbai, India, is 69 cents for the first minute and 58 cents for each additional minute (or part of a minute). Draw a graph of the cost (in dollars) of the phone call as a function of time (in minutes). c(t ) 0.69 c(t ) 0.69 0.58 1.27 c(t ) 0.69 2 0.58 1.85 c(t ) 0.69 3 0.58 2.43 0 t 1 1 t 2 2t 3 3t 4 t c(t ) 0 t 1 0.69 1 t 2 1.27 2t 3 1.85 3t 4 2.43 Used to determine which curves in the xyplane are functions. A curve is a function if and only if no vertical line intersects the curve more than once. (xvalues cannot repeat) y– x2 = 2 x2 + y2 = 4 x + y2 = -5 y x 2 2 y x 4 2 y x 5 Pg 167 #6-16 even, 24, 28-36 even, 42-50 even, 53-54,57,60,60-68 even