Ch. 1-2
Ch. 3-4
Ch. 3-4
Ch. 5
Ch. 6A
100
The solution to k^2-4k+1 = -5. Use method of your choice to solve, but must give EXACT answer.
What is 2 +- i root 2?
100
Use synthetic division to determine if x-1 is a factor of x^4-5x^2+x-1.
What is not a factor?
100
f(-4.5) if f(x) = ||x|| + 1.
What is -4?
100
The solution for x if root 81 = 3^(2x)? No calc. Also - so I don't forget - you should memorize the equations for compounding interest and half-life.
What is x=1?
100
The quadrant in which 11(pi)/6 lies in.
What is Q4?
200
The vertex, x-intercept(s), and y-intercept of x^2-12x+11=y.
What is (6,-25), x-int: 1, 11, y-int: 11?
200
Whether or not y=x^2-4x+1 is a function, and whether or not its INVERSE is a function.
What is yes a function but inverse is not?
200
Solutions of |x^2-4x+2| = 2.
What is {0,2,4}?
200
The solution for x if log(4)(16^x)=3. No calc.
What is x = 1.5?
200
A negative angle coterminal with -200 degrees.
What is -560 degrees?
300
The standard form of an equation that passes through the points (2, 1) and (-8, 14).
What is (13/10)x + y = (36/10)?
300
The inverse function of y=cube root of (x-1).
What is x^3+1 = y?
300
f(g(x) if f(x) = x^2-1 and g(x) = root(x-2).
What is x-3?
300
The solution(s) for x if log x + log(x+1) = 2.
What is x = 9.5? (-10.5 is extraneous!)
300
The degree equivalent of 15(pi)/4.
What is 675 degrees?
400
The interval(s) over which the polynomial x^3-4x^2+x+1 is increasing. Give answers in interval notation.
What is (-inf, 0.1315)U(2.5352,inf)?
400
The solutions to the inequality (x+2)/(x-3)<0 in interval notation.
What is (-2,3)?
400
The domain of f(g(x)) if f(x) = x^2-1 and g(x) = root(x-2) in interval notation.
What is [2,inf)?
400
The solution for x if root(x-1) + root(x+2) = 3. Must be able to show work.
What is x = 2?
400
The reference angle of -21(pi)/4.
What is pi/4?
500
The maximum, minimum, and inflection point of x^3+5x^2-x+2.
What is max: (-3.43, 23.9), min: (0.097, 1.95), inf. point: ~(-1.70, 13.26)?
500
The zeros, multiplicity, and graphical behavior (crosses or touches x-axis) of f(x) = (x-1)^3 (x+4) (x-2)^2. (Be able to sketch this as well!)
What is zero at 1, mult. 3, crosses....zero at -4, mult 1, crosses...zero at 2, mult. 2, touches?
500
The domain and hole(s) (if there are any) of f(x) = (x^2-16x+63)/(7x^2-45x-28).
What is domain of all real numbers except -4/7 and 7? There is a hole at x=7.
500
Solution for x when 3^x=4^(x-2). (Round to hundredth).
What is x=9.69?
500
The most simplified form of (sec x)^2 - (tan x)^2.
What is 1?
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