FUNCTIONS: Domain, Range, Composition
FUNCTIONS: Inverses
FUNCTIONS: Transformations
EXPONENTS
LOGARITHMS
100
An equation in which for every input there is exactly one output
What is the definition of a function?
100
Vertical line test, horizontal line test
What is the way to graphically recognize that a function has an inverse?
100
The translation that affects the domain
What is a horizontal translation?
100
The amount of time at which 50% of something will be gone
What is half life?
100
logv10(x)=log(x)
What is the common logarithm?
200
Set of values that can be inputted into the function
What is the domain?
200
y=x
What is the line that functions are reflected over in order to find its inverse?
200
The transformation to make a shape bigger
What is dilation?
200
(a^m)^n = a^m*n
What is the "power of a power" property?
200
y=b^x if and only if logvb(y)=x (given b>0 and b≠1)
What is the definition of a logarithm?
300
The set of values the function produces
What is the range?
300
f^-1(x)
What is the inverse of f(x)?
300
The transformation where every point in the function moves the same distance in the same direction
What is translation?
300
b^n-m = b^n/b^m
What is the quotient of powers property?
300
logvb(b)=1
What is the rule when the base and the argument are equal?
400
The output of one becomes the input of the other
What is the way to solve a composition?
400
Restrict the domain
What is a way to make a function's inverse one to one?
400
add four to y=x to make it y=x+4
What is the way to translate a function up four?
400
f(x)=a*b^x
What is the exponential equation?
400
logvb(1)=0
What is the rule for any logarithm where the argument is 1?
500
all real numbers
What is the domain or range of a function that goes on infinitely?
500
The original function doesn't pass the vertical line test
What is a way to see if a function's inverse will pass the horizontal line test?
500
The number reflects the function over the x axis.
What translation does the number outside of the parenthesis cause?
500
It becomes the square root
What happens when you raise something to the 1/2?
500
Look at the argument of the logarithm
What is a way to find the solution to an exponent problem?
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