Functions: Domain, Range, Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
____ is the set of values that can be inputted into the function. ____ is the set of values the function produces.
What are the domain and range of a function?
100
The inverse parent function:
What is y=1/x
100
This is a vertical stretch/vertical shrink OR horizontal stretch/ horizontal shrink
What is Dilation?
100
a^m * a^n
What is a^(m+n)
100
7
What is log(8,56)?
200
Define a function
What is an equation for which every input will produce only one output?
200
A function, in which half of it can be dictated inverse by y=x
What is f(x)=x^2 and f^-1(x)=sqrt{x}
200
y=3x --> y=3x+1
What is a shift up by 1?
200
(a^m)/(a^n)
What is a^(m-n)
200
log(4.88293820837928,1)
What is 0?
300
To prove a function: To prove a one-to-one function:
What is the vertical line test and the horizontal line test?
300
The inverse of f(x)=2x
What is f^-1(x)=x/2
300
y=x --> y=3(x-2)
What is a vertical stretch by a factor of three and shifted to the right 2?
300
a^(-n)
What is 1/(a^n)
300
log(7293829411,7293829411)
What is 1?
400
A function where every output is produced by only one input
What is one-to-one function?
400
The inverse of f(x)=2x+1
What is f^-1(x)=(x/2)-(1/2)
400
A transformation consisting of a horizontal stretch by a factor of 3, shifted to the left by 5, shifted down 1 and shrunk vertically by a factor of 2.
What is y=(1/2)*((1/3)x+5)-1
400
18939932227611.33527^0
What is 1?
400
The definition of a logarithm.
What is: Given b>0 and b does not equal 1, y=b^x iff log(b,y)=x are equivalent statements?
500
The values of x are less than 13 and greater than or equal to zero.
What is the domain: [0,13)
500
The inverse of f(x)=3x-(1/2)
What is f^-1(x)=(x/3)+1
500
{Give f(x) and c is a constant} c*f(x): c>1 is a ________ 01 is a ________ 0
What is a vertical stretch, vertical shrink, horizontal shrink, horizontal stretch?
500
(4xy^-2)/((-3x^3y)^-2)
What is 12x^7
500
log(-x) = _____
What is: Error! You cannot take the log of a negative number when working with real numbers.
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