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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