Functions!
Quadratics
Rationals/Radicals
Trig
Exponentials
100
Is this a function?
NO
100
how many solutions does this equation have?
5x^2-10x+25=0
0 solutions
100
Convert to a mixed radical
sqrt 735
7sqrt15
100
what is the related acute angle if the terminal angle is
147^o
33^o
100
How can you tell if a function is exponential based on the table of values?
look for constant ratios between terms
200
What are the domain and range for the following function?
f(x)=3sin(2(x-30))+5
Domain:
{x in RR}
Range:
{f(x) in RR| 2<=f(x)<=8}
200
Where is the vertex of
f(x)=5x^{2}-10x+25
Vertex is at
(1,20)
200
what are the restrictions on x for the rational
((x+2)(x-3))/((x-3)(x+5)
x!= 3 or -5
200
in which quadrants is sin(x) positive?
1 and 2
200
solve
81^x=3^(x+1)
x=1/3
300
what is the inverse of
f(x)=3(x-2)^2+5
f^-1(x)=+-sqrt((x-5)/3)+2
300
what are the x-values of the points of intersection of the functions f(x)=3x^2+2x-1 and g(x)=3x+2 Round to 3 decimal places
x=-0.847 and x=1.180
300
expand and simplify the following radical
(2sqrt5+5sqrt7)(5sqrt5-4sqrt7)
-90+17sqrt35
300
which other angle produces the same value as
tan(173^o)?
353 degrees
300
Simplify using exponent laws: Leave answers with positive exponents and no radicals
sqrt ((x^3y^3)^3)/(xy^2z)
=(x^(7/2)y^(5/2))/z
400
what is the new point on the function
g(x)=3f(-1/2(x-5))+3
if the initial point was (10,10)
new point is
(-15,33)
400
what is the profit function if an item sells 1000 pieces a week at $10 and every increase of $1 results in a loss of 10 items sold? leave answers in factored form
p(x)=(1000-10x)(10+x)
400
Divide the following rational expression, state all restrictions. Leave answers in factored form:
((x-2)(x-1))/((x+4)(x+2))-:((x-1)(x+2))/((x+3)(x+4)
((x-2)(x-3))/((x+2)^2
x!=-4,-2,-3,1
400
what is the equation that could model a person's height on a ferris wheel of height 120m that starts 4m off the ground and has a ride tine of 15 mins?
h(t)=-60cos(24x)+64
400
solve
2^(3x)=16^(2x+1)
x=-4/5
500
List the transformations that have been applied to the function f(x):
g(x)=-1/4f[5(x-12)]+6
Reflection in the x-axis
vertical compression by a factor of 1/4
horizontal compression by a factor of 1/5
horizontal shift 12 right
vertical shift 6 up
500
what is the maximum profit for the profit function
P(x)=(1000-10x)(10+2x)
$55125 and it happens when the price has been increased 47.5 times
500
Add the following rational expressions and state restrictions (Leave answers in expanded form):
(x+3)/(x+4) + (x-1)/(x+5)
(2x^2+11x+11)/(x^2+9x+20)
x!=-4,-5
500
find the dimensions of both triangles if the first triangle looks like this: 
side a=4
side b=6
side c= 9.41m OR 2.13m
<B=24.4 or 155.6
<C=9.41 OR 2.13
500
the half life of a substance is 32 days. if you start with 100g of the substance, how much will be left after 47 days have passed?
36.13g will be left