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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.
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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