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1. If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)? a) –196 b) –168 c) 22 d) 78 2. If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true? a) It includes points in Quadrant I. b) It includes points in Quadrant II. c) It does not include points in Quadrant I. d) It does not include points in Quadrant II. 3. If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)? a) 12 b) 14 c) 36 d) 38

Jeremy Wood

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Roger Moore on February 12, 2019

1. f(x) = 8 - 10xg(x) = 5x + 4(fg)(x) = (8 - 10x)(5x + 4)(fg)(x) = 40x + 32 - 50-x^2 - 40x(fg)(x) = 32 - 50-x^2(fg)(-2) = 32 - 50(-2)^2(fg)(-2) = 32 - 200(fg)(-2) = -1682. The signs are reversed. Since then, Q4 = (x , -y)therefore P? = (-x , y), which belongs to Quadrant 2.(b) includes the points in the Quadrant II3. f(x) = 3x^2 + 1 g(x) = 1 - x(f - g)(x) = 3x^2 + 1 - (1 - x)(f - g)(x) = 3x^2 + 1 - 1 + x(f - g)(x) = 3x^2 + x(f - g)(2) = 3(2)^2 + 2(f - g)(2) = 14


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