Test2 Review SheetKEY

Test2 Review SheetKEY - Review for Test 2(MAC1105 Graph the...

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Review for Test 2 (MAC1105) Graph the equation and list the intercepts and symmetry, if any: Intercepts Symmetry: does (x, y) = x- y- x-axis (x,-y) y-axis (-x, y) origin (-x,-y) 1 y – 1 / 3 x 2 + 2 = 0 ( 29 6,0 ± (0, -2) No Yes No 2 y = x 3 5 2 (0, 0) (0, 0) No No Yes 3 = - x y 1 8 3 4 (-3, 0) (0, 3 / 2 ) Yes No No 2 2 2 2 1 2 3 1 2 0 6 0 3 6 6 y x x x x x = - - = - = = = ± 1 1 0 8 3 3 8 4 4 12 8 8 12 3 2 y y y y y = - = = = ± = ± 4. What is the equation of the line passing through the points (5, -7) and (4, 8)? 7 8 15 5 4 m - - = = - - y – 8 = -15(x – 4) Y = -15x + 60 + 8 = -15x + 68 or 15x + y = 68 5. Find an equation of a circle in standard form whose diameter has endpoints of (8, -4) and (-6, 2). 5. (x – 1) 2 + (y + 1) 2 = 58 M = (h, k) = ( 29 ( 29 8 6 4 2 , 1, 1 2 2 - + - + ÷= - ÷ r = ( 29 ( 29 2 2 1 8 1 4 49 9 58 - + - + = + = 6. Find the center and radius of + - + + = x y x y 2 2 6 1 0 1 8 0 ; sketch the equation. 6. Center: (3, -5) Radius: 4 ( 29 ( 29 - + + = - + + + - + + = + x x y y x y 2 2 2 2 2 2 3 5 9 6 10 1 8 5 5 2 3 1 6
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7. Determine whether the following is a function; state its domain, range, and intercepts: = - + y x 2 4 16 16 4 y x = ± - Function? Domain Range Intercepts No (- , 4) (- , ) (4, 0), (0, ±4) 8. If - = + x f (x ) x 2 2 7 , find f(x - 4). 8.
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Test2 Review SheetKEY - Review for Test 2(MAC1105 Graph the...

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