Lines and Such
Function Composition & Inverses
Complex & Rational Numbers
Solutions of Polynomial Functions
100
Using the _________ verifies if a graph is a function or not.
What is Vertical Line Test
100
{:(f(x)=2x+1),(g(x)=2x^2-3x-2):}
Find
(f-g)(x)
What is
-2x^2+5x+3
100
True or False:
A 4th degree polynomial with real coefficients can have -5, -8i, 4i, and 5 as its zeros.
What is False
100
A 7th degree polynomial with real coefficients has this many zeros.
What is 7
200
Write the slope-intercept form of the line that is parallel to
f(x)=1/2x-4
and goes through the point (-1,1)
What is
f(x)=1/2x+3/2
200
{:(f(x)=2x+1),(g(x)=2x^2-3x-2):}
Find
(fxxg)(x)
What is
4x^3-4x2-7x-2
200
True or False:
The graph of
f(x)=(x^2+2ax+a^2)/(x+a)
has no vertical asymptote.
What is True
200
Find ALL zero's of the following function:
f(x)=x^2-2x+8
What is
1+-sqrt7i
300
Write the slope-intercept form of the line line that is perpendicular to
f(x)=-3/7x-5
and goes through the point (3,2)
What is
f(x)=7/3x-5
300
{:(f(x)=2x+1),(g(x)=2x^2-3x-2):}
Find
(f/g)(x)
What is
1/(x-2),x!=2,-1/2
300
Simplify and Write in Standard Form:
(10+sqrt-20)-(4-sqrt-45)
What is
6+5sqrt5i
300
Solve Using Long Division:
f(x)=(3x^4+x^2-1)/(x^2-1)
What is
3x^2+4+3/(x^2-1)
400
Find the open intervals in which the following function is increasing, decreasing, and constant.
What is
I:(-oo,-3)uu(2,5)C:(-3,1)D:(1,2)uu(5,oo)
400
The inverse of
g(x)=sqrt(2x-3)
is ______
What is
g^-1(x)=(x^2+3)/2
400
Simplify and Write in Standard Form:
(5i)/(2-i)
What is
-1+2i
400
Use Synthetic Division to find ALL zeros
f(x)=(x^4-x^3-16x^2=4x=48)/(x-4)
What are -3,-2,2,4
500
Sketch the graph of the following function:
f(x)={(x+4,x<=-3),(1,-3<x<=-1),(x^2,x> -1):}
What is
500
{:(f(x)=2x+1),(g(x)=2x^2-3x-2):}
Find
(g@f)(x)
What is
8x^2+2x-3
500
Sketch the graph of
f(x)=(2x+12)/(x^2-36)
What is 
500
Find All zero's of the following function:
f(x)=-x^3+4x^2+4x-16
What are -2,2,4