Domain, Range, and Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
All possible x-values
What is the domain
100
The line reflections of functions reflect over
What is y=x
100
Making the function f(x)=x^2 into f(x)=x^2+2 shifts the function ____
What is "up two"
100
9^1/2
What is 4.5
100
The standard base for logs which calculators can solve for
What is base 10
200
The application of one function to the results of another
What is (function) composition
200
To find the equation of a function's inverse, switch its ___ and ___ values
What are x and y
200
Adding a negative sign in front of the x in the equation f(x)=x^2+3 will do what to the parabola?
What is "flip it upside down"
200
(x^m)(x^n) equals
x^(m+n)
200
log(b,x)=[log(k,x)]/[log(k,b)]
What is the change of base formula
300
The two things that can't happen when finding all legal domain values
What are taking square roots of negative numbers and dividing by zero
300
Y equals the square root of X is the inverse of ____
What is y=x^2
300
Making the equation f(x)=(x^2+2) into f(x)=2(x^2+2) does what to the parabola?
What is "stretches it vertically by a factor of two"
300
Anything to the power of zero is ___
What is 1
300
log(A)+log(B) can be rewritten as
What is log(AB)
400
[-5, 2)U(2, -3) is an example of
What is interval notation
400
Only ___ functions have inverses
What are one-to-one functions
400
In the equation y=f(x/3)+1, putting x/3 does what to the x-values?
What is "multiplies them by 3"
400
a^-n can be rewritten as
What is 1/a^n
400
The inverse of f(x)=10^x
What is g(x)=log(x)
500
f(x)=x+1 g(x)=2x Find g(f(x)); x=3
What is 8
500
Undoes everything the function f(x) accomplishes
What is the function f-1(x) (inverse)
500
The parent function of g(x)=3-|x-1| is ____
What is g(x)=|x|
500
a^1/x can be rewritten as ___
What is the nth root of a
500
The log of 1, no matter what base, always gives you the answer of
What is zero
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