Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
100
What is the definition of a function?
What is a relation where every input has one output?
100
Determine the average rate of change over the interval 3<x<11 for the following function:
f(x)=x^2-2x+7
What is 12?
100
What is the vertex of the following function:
f(x)=5x^2+27x-3
What is (-2.7, -39.45)?
100
1/8(x-2)+4
What is the p value of a function?
P value = 2
100
Where are the roots of a function located on a graph?
the x-axis
100
When does a rational function have an extraneous root?
When the denominator is equal to zero
200
What is the domain of this function?
What is (-5, 5]?
200
The graph of a function and the graph of its inverse always have symmetry over which line?
What is y = x?
200
Factor the following completely:
x^4-13x^2+36
What is
(x+3)(x-3)(x+2)(x-2)
200
Explain the transformation of (x-3)2+4
The function was shifted right 3 and up 4
200
What are the zeros of the function
y=x^3-x^2-12x
{-3,0,4}
200
What is the LCD of this function?
LCD= (x)(x-6)(x+6)
300
Name the interval(s) over which f(x) is increasing.
What is
(-oo, 3) U (1, oo)
300
After a recent MCSM basketball game, traffic was exiting the parking lot at a constant rate of 28 cars per minute. The parking lot started with 922 cars. How many cars are still in the parking lot after 10 minutes?
What is 642 cars?
300
Write the following in simplest form:
(-5+i)(2-7i)-(8+3i)(-1+2i)
What is 11+24i?
300
Write the equation of a circle with a Center of (1,-3) and Radius: 3
(x-1)2+(y+3)2=9
300
Write an equation of this graph in factored form
y=-2(x+1)(x-2)2
300
Perform the operation given.Simplify the final answer completely
(x+9)/(x(x+6))
(x+9)/(x2+6x)
400
What is the inverse of the function f(x) =
(2x-7)/3
What is
(3x+7)/2
400
Solve the following system of equations for x and y:
What is (3, -8)?
400
Use the discriminant of the following equation to determine how many roots it has and what types.
x^2+8x+16=0
What is one rational intercept?
400
Write the equation of a circle in center-radius form.
(x+4)2+(y-1)2=79
400
(2x+3)
400
solve for x.
x=-3/4
500
A graph of f(x) is shown below. What is the domain of
f^(-1)(x)
What is
[0, oo)?
500
At what x-coordinate would a line whose equation is y = 2x - 3 intersect a perpendicular line whose y-intercept is 17?
What is x = 8?
500
Write all solutions to the following in simplest a + bi form:
x(x+7)=-3(x+8)-4
What is
x=-5+-isqrt3
500
Write the equation of a parabola with a directrix of x=4 and a focus of (0,2).
x=-1/8(y-2)^2+2
500
Create the equation of a cubic in standard form that has a double zero at -2 and another zero at 4. The function has an y- intercept of 16
y=-x3+8x2-20x+16
500
Simplify the rational expression
(x+3)/(-x)