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ate 61'10 Approximate all points of relative and absolute extrema of each function. Then approximate the open intervals where each function is increasing and decreasing.

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ate 61'10 Approximate all points of relative and absolute extrema of each function. Then approximate the open intervals where each function is increasing and decreasing. x2 2)y=x4+3x21 1 = 3 )y 2+ 8y 3)y=x3+4x27 4)y=2x2+12x+16 For each problem, nd the average rate of change of the function over the given interval. 5) y = 2x2 + 2; [0,1] 6) f(x) = 2x2 x + 1; [1, 2] 7) f(x) = x2 + x+2; [-2, 1] 8) f(x) = -2x2 - 2x - 1; [-2, -1] Describe the transformations necessary to transform the graph of f(x) into that of g(x). 9) f(x) = x3 10) f(x) = x2 g(x) = -(x+ 1)3 g(x) =-x2 - 1 11) f(x) = x3 12) f(x) =x2 g(x) = -(x-2)3 g(x) =-(x + 1)2 Sketch the graph of each function. 13) g(x) = - x-3 14) g(x) = -(x - 2)2 15) g(x) = (x+3)2+2 16) g(x) = x + 1 -2 -2-Perform the indicated operation. 17) g(n) = 3n + 2 18) g(n) = -2n' + 5n h(n) = 3n - 3 h(n) = 3n + 3 Find g(n) + h(n) Find g(n) + h(n) 19) g(x) = x2 + 4x 20) h(x) = x3 - 2x f(x) = 3x + 5 g(x) = 2x + 2 Find g(x) - f(x) Find h(x) - 8(x) 21) g(n) = 4n + 5 22) g(a) = 4a + 1 f(n) = n2 + 2n fla) - a' + 2a Find g(n) . f(n) Find g(a) . f(a) 23) g(n) = -4n - 3 24) (1) = -41 + 4 f(n) = -2n3 +1 g(1) = -212 + 1 Find g(n) + f(n) Find f (t) + g(t) Find the inverse of each function. 25) g(x) - -x +5 26) f(x) = 3x 27) g(x) - 25 - 3x 28) f(x) - 8x - 5 5

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