1Aaddordswksolns

Graphing by Addition of Ordinates: Worksheet

Solutions

math \text{(a) } y = \dfrac{-1}{x-3} +\frac{1}{2}x + 1 math



Domain: x Î **R**\{3} Range: y Î **R**

Asymptotes: x = 3 y = ½x + 1

y-intercept y = 1.33 x-intercept x = –2.37, 3.37

math \text{(b) } y = \dfrac{2}{(x-1)^2}-\frac{1}{2} (x-4)^2 + 2 math



Domain: x Î **R**\{1} Range: y Î **R**

Asymptotes: x = 1 y = –½(x – 4) 2 + 2

y-intercept y = –4 x-intercepts x = 0.35, 6.04

Stationary Points: Local Minimum at (2.34, 1.74) Local Maximum at (3.82, 2.24)

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