Functions: Domain, Range, Composition, Inverses
Functions: Transformations
Exponents
Logarithms
Geometry
100
All of the y values of a function
What is the range
100
shift the parent function f(x)=x^2 up by 2 and left by 1
f(x)=(x+1)^2 +2
100
(5^3)^4
244140625
100
what is log(45678,1)
0
100
If <1 and <2 are vertical angles, and <1=48 degrees, what is m<2
m<2= 48 degrees
200
Is used to determine if a function is one-to-one
What is the horizontal line test
200
describe the transformations of the function f(x)=[x-3]-9 []=absolute value
it has been shifted to the right 3 and down 9
200
write 100(square root)10 as an exponent
10^2.5
200
write as a log 5^x=67
log(5,67)=x
200
what is the relationship of these lines: y= 4x+3 y= 4x-8
they are parallel
300
Write the inverse of the function: f(x)=3x-7
Inverse= f(x)=1/3x+2
300
describe the transformations: f(x)=2(x-6)^2 +5
It is narrower, moved to the right 6 and up 5
300
3^6x-9=3^2x+3
x=3
300
log(4,3x-6)=log(4,4x-8) solve for x
x=2
300
Angle ABC< is bisected by the line K, creating two separate angles KBA< and
x=17
400
what is the domain and range of the function f(x)= 3x^2 + 2
domain= all real #'s range= <2
400
write the transformation of the parent function f(x)=x^2 so that the function is moved to the right 4, and down 5
f(x)=(x-4)^2 - 5
400
9^3x-4=81^5x-3
x=2/7
400
find 4 points on the graph of f(x)=log(4,x)
(1/4,-1), (1,0), (4,1), (16,2)
400
Define the following terms: supplementary angles, complimentary angles, vertical angles, and alternate interior angles
supplementary angles= the sum of these angles is 180 degrees complimentary angles= the sum of the angles is 90 degrees vertical angles= two angles that are opposite each other when two lines intersect, they are congruent alternate interior angles=angles that are on opposite sides of a transversal but on the interior of the two parallel lines being divided, also congruent
500
graph 3 points on the following functions: f(x)=4x+3 f(x^-1)=1/4x-3/4
origional: (-1,-1), (0,3), (1,7) inverse: (-1,-1), (3,0), (7,1)
500
find 3 points on the parent function, and transformed function: f(x)=x^2 f(x)=-3(x-4)^2+5
parent function= (1,1), (2,4), (3,9) transformed= (1,-22), (2,7) (3,2)
500
The doubling time of a bacterial colony is 1.5 hours. There were initially 23 colonies and now there are 2 million. How much time has passed?
24.61 hours
500
3^4x-3=4^7x+8
x=-2.72
500
In triangle ABC, m
x=14