Find f(g(x)) given f(x)=3/(x+1) and g(x)=2/x. Then state the domain of f(g(x)).
What is y = (3x)/(2+x) and D: (-inf,-2)U(-2,0)U(0,inf)?
100
Find the end behavior asymptote (as an equation) of the rational function y = (x2+6x-1)/(x+3)
What is y=x+3
100
Evaluate log¼32
What is -5/2?
100
Graph y=-2(x+1)2(x-3)
(see chalk board)
100
Identify the type of conic section given by 4x2+8x-y2+2y=0
What is a hyperbola?
200
Evaluate the difference quotient [f(x+h)-f(x)]/h for f(x)=2x2+x-3
What is 4x+1+2h?
200
Simplify. (x+1)/(3x-6) + (2x+5)/(x+1)
What is (7x2+5x-29)/(3(x-2)(x+1))
200
Condense into a single logarithm:
3log(x)-2(log(y)-log(z))
What is log (x3z2/y2)?
200
Find the remainder when 2x2+5x+6 is divided by 2x+1.
What is 4?
200
Write the equation of the conic in standard form.
4y2-16y+4x2+8x=11
What is (y-2)2+(x+1)2=7?
300
Determine the symmetry (even/odd) for the function y = x2/(x2+1)
What is even?
300
Find the solution for the inequality -4x2+14x-6<0
What is (-inf,½)U(3,inf)
300
Expand as much as possible.
log ((10x)2/(xy))
2+log(x)-log(y)
300
Find the model for the following polynomial data:
(1,5) (2,6) (3,9) (4,14) (5,21)
What is y=x2-2x+6?
300
Write the equation of a conic with center (1,2), a=3, e=2/3, and a vertical major axis.
What is (y-2)2/9 + (x-1)2/5 = 1
400
Write the mapping function for y=-2log(-5x+3)-16.
What is T(x,y)=(-x/5+3/5, -2y-16)
400
An open-top box is constructed by cutting squares from the four corners of a 15" by 12" piece of paper. What dimensions of box will yield the maximum volume?
What is 2.21 by 7.58 by 10.58?
400
Find the domain and the inverse of y=log(x+1)-3
What is D:(-1,inf) and y=-1+10x+3 ?
400
Find the equation of the polynomial with zeros at 1m2, -3m1, and 4m1 that passes through the point (0,16).
What is y=4/3(x-1)2(x+3)(x-4)?
400
Find the equation of the conic with center (5,-2), focus at (5,-7), and vertex (5,-6).
What is (y+2)2/16 - (x-5)2/9 = 1?
500
Factor 216x3+8
What is 8(3x+1)(9x2-3x+1)
500
Mrs. Smith can clean her house from top to bottom in six hours. Her kids can destroy the house in three times that. If the kids run around making messes while Mrs. Smith cleans, how long will it take until the entire house is clean?
What is 9 hours?
500
Sketch the graph of y=-2log(x)-1.
(see chalk board)
500
Factor y=x5-4x4+2x3+2x2+x+6 given that x=-1 and x=2 are both zeros of the polynomial.
What is (x2+1)(x+1)(x-2)(x-3)?
500
Write the equation of the conic with vertex (-3,3) and directrix x=0.