Functions: Domain, Range, Composition
Functions: Inverse
Functions: Transformations
Exponents
Logarithms
100
An equation or set of data with only 1 dependent variable for every independent variable
What is a Function
100
A function obtained by expressing the dependent variable of one function as the independent variable of another
What is an inverse function
100
A transformation in which the entire function moves vertically or horizontally
What is a translation
100
(14^8)/(14^5) simplified
What is 14^3
100
The exponent that indicates the power to which a base number is raised to produce a given number
What is a Logarithm
200
The set of all possible output values which result from using the function formula.
What is Range
200
The set of data for the inverse of this function __x__|__x^3__ 2 | 8 3 | 27 4 | 64 5.2 | 140.608
What is ____x__|__3^√x__ 8 | 2 27 | 3 64 | 4 140.608| 5.2
200
The four basic types of transformations
What are Stretch/Squeeze(dilations), and up/down(translations)
200
((x^3)(y^5))^4 simplified
What is (x^12)(y^20)
200
The rewritten equation using logs of 5^2=25
What is log∨5(25)=2
300
The range and domain of the equation y=((1/3)x^2)-4.5
What is R: y>-4.5 D: All Real Numbers
300
The inverse function of y=3x-2
What is y=(x+2)/3
300
The changes to the parent function y=x^2 after these transformations were made y=3(x^2)+5
What is squeezed horizontally by 3 and shifted up 5
300
An recursive equation for the sequence 2,6,18..
What is a∨1=2 a∨n=3a∨(n-1)
300
The value of x when 10^x=300
What is x=2.477
400
4g(f(3)) when f(x)=x^2 and g(x)=x-1
What is 8
400
The condition that must be met by a function in order for it to have an inverse function
What is it must be one to one
400
The graph of the function y=((x-5)^3)-4
What is the parent cubic function shifted to the right 5 and down 4
400
The amount of units now from a deposit of carbon with 30 units 36,000 years ago and a half life of 2375
What is .000819 units
400
2^-3=(1/8) in log form
What is log∨2(1/8)=-3
500
h(f(g(5))) when f(x)=x-3 , g(x)=(x^2)-1 and h(x)=3x+2
What is 65
500
The inverse of y=4(y^2)+3
What is y=((√x)-3)/4
500
The graph of the function y=3√(1-(x+3)^2)-6
What is the parent semi circle function stretched vertically by 4, shifted to the left 3, and shifted down 6
500
The justification for the rule (a^m)^n=a^mn
What is What is {(a^m)*(a^m)...*(a^m)}-n times {(a*a*a)}-m times {(a*a*a)}...{(a*a*a)} {{a*a*a*a...*a*a}}-nm times
500
The value of x in the equation log(3x)=(15/7)
What is x≈46.3165
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