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Review for Test #1 Calculus – Larson
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A#1 Page 16 #37 Find an equation of the line that passes through points (2, 8) & (5, 0) #59 Find an equation of a line that passes thru (2, 1) and is a) parallel to and b) perpendicular to the line 4x – 2y = 3 -2y = -4x + 3 y = 2x – 3/2
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A#2 Page 27 Find the domain and range of the function. Sketch a graph.
#14 g(x) = x2 – 5 #31 h(x) = (x – 2 ) Absolute value y=| x+1 | D: x is all real, R: y>-5 D: x > 2, R: y > 0 D: all real, R: y > 0
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A#2 Page 27 Find the domain #14 g(x) = x2 – 5 #18 #29 f(x) = 4 – x #31 h(x) = (x – 2 ) #33 f(x) = (9 – x2) D: x is all real D: x 1 D: all real D: x > 2 D: -3 < x < 3
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A#2 (continued) Determine whether each function is even, odd or neither.
#67 f(x) = 4x2 – x4 + 1 Even #30 g(x) = 4/x Odd #32 f(x) = ½ x3 + 2 Neither
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A#3 Page 27 #25-28 Domain and Range of piecewise functions… with lines, parabolas, absolute value, square roots Page 37 #39 Domain and range with square root, rational and piecewise functions Graph a piecewise function 25. D: x, R: (-∞,1)[2,∞) 26. D: x, R: [2,∞) 27. D: x, R: (-∞,0][1,∞)
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A#4 Page 55 Limits #14 #20 A#5 page 67 Limits #7 #21 #27 #44 #49 #50 #51 #52
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A#6 page 78 limits and Continuity
#1,3,5 One-sided limits, Two-sided limits and continuity at a point #7 #15 #25, 28 continuity over an interval Page 88 #37
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