What is the justification for the exponential rule a^m*a^n=a^m+n?
100
The definition of a logarithm
What is "given b>0 and b≠1, then y=b^x iff lob(b,y)=x"?
200
The x and y values of a function
The domain and range are the sets of what values?
200
A one to one function
What is a function where every output is produced by only one input?
200
It effects the range of the graph and dilates the graph vertically
A vertical transformation effects a graph how?
200
The power of a power exponential rule
What is (a^m)^n=a^m*n?
200
The exponent will always equal 1
Any logarithm where log(b,b), the exponent will always equal what?
300
A domain that is ≥ and ≤
What is an inclusive domain?
300
The domain of the inverse is [3,27] and the range is [-5,13]
What is the domain and range of the inverse of a function with a domain of [-5,13] and a range of [3,27]?
300
These changes are due to a horizontal transformation
A change in the domain and a horizontal dilation is the result of what?
300
The justification for the quotient of powers property
b^0-m=b^0/b^m=1/b^m is the justification for what exponential rule?
300
If the logarithm has an argument of 1
A logarithm will always equal 0 if?
400
g(f(x)) or g o f(x)
What are possible notations for composition?
400
The original equation of the inverse is f(x)=3x-2
F^-1(x)=(x+2)/3 is the inverse of what equation?
400
The equation shifts the quadratic parent function left by two and stretches it horizontally by a factor of 3
The graph of y=((x+2)/3)^2 transforms the quadratic parent function how?
400
Two ways to find x in the equation 3^(x+1)=5^(x-1)
What are graphing the equations y=3^(x+1) and y=5^(x-1) and finding the intersection, and guessing and checking values?
400
log(a*b)
log(a) + log(b) is equal to what?
500
The trivial solution for this composition is f(x)=x and g(x)=(x+2)^2-2
If f(g(x))=(x+2)^2-2, what is the trivial solution for f(x) and g(x)?
500
It is necessary to restrict the domain of the function to f(x)=x^2-2;x≥0
In order to find the inverse of f(x)x^2-2, its necessary to do what?
500
The transformed equations is written as y=-2((x+1)3)^3-2
What is the cubic function shifted left one, reflected over the x-axis, stretched vertically by a factor of two, horizontally stretched by a factor of three, and shifted down two written as an equation?
500
Exponential regression is used to find the exponential equation
What is used on a calculator to find an exponential equation?
500
The graph increases, has an x-intercept of (1,0), no y-intercept, and an asymptote of x=0
What are the identifying feature of the logarithm parent function?