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17 Cards in this Set

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 Solve the inequality x^2-4x+5>2 (-infinite, 1) U (3, infinite) x-1 ---- < 0 x^2-4 - (-infinite, -2) U [1,2) 3 2 ----- < --- x+4 - x-1 (-infinite,-4) U (1, infinite) Solve |2x-1| < 3 (-1,2) Solve |x^2-4| < 1 - (-infinite, square root of five] Find the distance between the points (1,3) and (-2,5) d=square root of 13 Determine whether the triangle with vertices at (-3,6), (-1,2), and (5,5) is a right triangle. yes Find the midpoint of the line segment joining (1,5) and (3,-3). (2,-1) Find the equation of a circle with center at (1,-4) and radius 3. 9=(x-1)^2+(y+4)^2 Find an equation of a cirlce centered at (-4,-1) that is tangent to the line x=-1. (x+4)^2+(y+1)^2=9 Find the center and the radius of a circle with the equation x^2-6x+y^2+4y=7. center(3,-2) radius=square root 20 Sketch the graph of 2x+3y=6 find the x-and y-intercept Given f(x)= 1 + 2 --- x-1 domain:(-infinite, 1) U (1, infinite) range: (-infinite,2) U (2, infinite) Given f(x)=square roote /x^2-4x+3 domain: (-infinite, 1] U [3, infinite) range: [0, infinite) Graph the following piece-wise defined function and determine the domain and range. domain:(-infinite, infinite) range: [-1, infinite) Determine if the function f(x)=x^3-2x^2 is odd, even, or neither. neither If f(x)=2x^2-3 find: a)f(3) b)f(square root 3) c)f(x+4) d)f(x+h) a)f(3)=15 b)f(square root 3)=3 c)2x^2 + 16x + 29 d)2x^2 + 4xh + 12h^2 -3