Polynomials
Rationals
Graphs
Exponentials & Logs
Surprise Me!
100
What is the degree of the polynomial?
y=6x^2-7x^4-1+8x^3+5x
4
100
Simplify
(x^2-16)/(x^2-7x+12)
(x+4)/(x-3)
100
What is f(4)?
f(4)=-7
100
What is the log form of
12^(4x)=412
log_(12)(412)=4x
100
Solve
5/4(x-8)=-3/4(x-12)
x=9.5
200
What are the factors of
2x^2-7x+5
(2x-5)(x-1)
200
((3x-1)(2x+7))/(x(2x-5)
Where is the horizontal asymptote?
y=3
200
y=1/2sqrt(x-3)+2
What are the transformations on the graph of
Vertical Shrink by 1/2, Right 3, Up 2
200
Combine the logs into a single log:
1/2(log24+log2-log12)
log 2
200
Solve:
2 root(3)(x-1)-5=1
x=28
300
What are the roots of
y=x^3-7x^2-x+7
x=-1,1,7
300
Where does this rational equation have a vertical asymptote?
f(x)=(x-3)/(x^2-x-6)
x=-2
300
What is the equation of the function that is vertically stretched by 5, reflected over the x axis, and shifted left 1. The parent graph is shown below.
y=-5(x+1)^2
300
What is the exact solution to
3ln(2x-9)=24
x=(e^8+9)/2
300
Simplify:
(20x^6y^9z^-5)/(4x^-2y^11z^-6)
(5x^8z)/y^2
400
What is the repeated root of
x^3+3x^2-9x-27
x=-3
400
What is the domain of
y=(x^2-1)/(x^2-6x+5)
(-∞,1),(1,5),(5,∞)
400
The graph of y=42x+1-1 has a ____ asymptote at ____.
horizontal ; y=-1
400
Solve for x:
log_(2)x+log_(2)(x-2)=3
x=4
400
What is the domain of
f(x)=sqrt(x+1)/(x^2-4x)
[-1,0), (0, 4) ,(4,∞)
500
What is the end behavior of the polynomial (in terms of ∞)
-3x^5-4x^4+5x^3
x→∞ ,y→-∞
x→-∞, y→∞
500
What is the hole of the graph?
(3x^2+5x-2)/(2x^2+x-6)
(-2,1)
500
What is the degree of this polynomial?
6
500
Solve for x. Give the exact and approximate answer.
3^(x-1)=6^(x+1)
x=(log_(6)(3)+1)/(log_(6)(3)-1)
x=(-log_(3)(6)-1)/(log_(3)(6)-1)
xapprox-4.17
500
Mario puts $500 in a savings account that pays 2.5% annual interest compounded monthly. How many years would he need to leave his money in the account to have at least $1500 in savings?
44 years