Show:
Quadratic Equations
Inequalities & Absolute Values
Relations and Functions
Graphing Functions
Composite and Inverse Functions
100
3x(x+1)=2x+2
What is {-1, 2/3}
100
x + 5 < 19 + 3x
What is (-7, infinity)
100
The domain of h(x) = (x - 3)/(x^2 - 4)
What is (-infinity, -2) U (-2, 2) U (2, infinity)
100
Describe the graph of f(x) = (x-5)^2 - 11
What is the graph of x^2 shifted 5 units right and 11 units down
100
f(g(x)) and domain when f(x) = 3x - 2 and g(x) = |x - 1|
What is 3|x - 1| - 2 Domain: (-infinity, infinity)
200
2x^2 + 4x - 3 = 0
What is {-2 - /[10]/2, -2 + /[10]/2}
200
(x + 1)/2 - 3 < x/4 + 1/2
What is (-infinity, 12)
200
f(x) = 3x + 7 is even, odd or neither
What is neither
200
Describe the graph of g(x) = -(x+6)^3 + 2
What is the graph of x^3 shifted left 6 units, reflected in the x-axis and shifted up 2 units
200
f o g and f o f when f(x) = x - 1 and g(x) = x / (x + 1)
What is f(g(x)) = -1 / (x + 1) domain: (-infinity, -1) U (-1, infinity); f(f(x)) = x - 2 domain: (-infinity, infinity)
300
x^2 - 8x + 20 = 0
What is {4 - 2i, 4 + 2i}
300
3 - 2x > 5 or 15 - 3x < 6
What is (-infinity, -1) U (3, infinity)
300
g(x) = (x^4 + 3)/(2x^3 - 3x) is even, odd or neither
What is odd
300
The graph of f(x) = |x| is reflected in the y-axis, shifted right 7 units and shifted up 3 units.
What is y = |-x + 7| + 3
300
f(x) and g(x) when H(x) = 5 / (2x + 3)
What is f(x) = 5 / x and g(x) = 2x + 3
400
(x^2 - 1)^2 - 11(x^2 - 1) + 24 = 0
What is {-3, -2, 2, 3}
400
2x - 1 < 3 and 4 - 3x > 1
What is (-infinity, 1)
400
x^2 + y^2 = 16 intercepts and symmetry
What are x-int: (-4,0), (4,0) y-int: (0,-4), (0,4) symmetry: x-axis, y-axis, origin
400
The graph of x^3 is shifted three units right, reflected in the x-axis and shifted down 4 units
What is -(x - 3)^3 - 4
400
The inverse function of f(x) = (x + 2)/(x + 1) and x is not -1 with it's domain and range
What is f(inverse x) = (x - 2)/(1 - x) domain: (-infinity, -1) U (-1, infinity) range: (-infinity, 1) U (1, infinity)
500
x - 2048 - 32/[x] = 0
What is {4096}
500
3|x - 1| + 4 < 10
What is (-1, 3)
500
f(x) = x^2 -x used in the difference quotient. f(x+h) - f(x) / h
What is 2x + h - 1
500
g(x) = x + 5 if x < -3, x + 2 if -3 < x < 2, x^2 - x if x > 2, with domain and range
What is Domain: (-infinity,-3) U (-3,2) U (2,infinity) Range: (-infinity,infinity)
500
Inverse of g(x) = x^2 + 5 ; x > or = 0 graphed with g(x) on same coordinate axes.
What is y = /[x - 5] ; x > or = 5