All the possible X values for which a function can provide an output, or Y value, for.
What is the domain of a function?
100
The inverses of the points are:
x|y
1|3
4|9
5|7
What are the inverses of the points below?
x|y
3|1
9|4
7|5
100
f(x) is flipped over the x axis.
What happens when f(x) is turned into -f(x)?
100
Anything to that exponent equals 1.
What does anything to the 0 equal?
100
That is the standard base of all logarithms unless specified otherwise.
Unless specified otherwise, how does 10 relate to all logarithms?
200
All the possible Y values that a function is able to output.
What is the range of a function?
200
That is the definition of the inverse of a function.
What is "The function that results from the x and y values of a given function being switched." a definition of?
200
That causes f(x) to be stretched vertically by a factor of 3.
What happens when f(x) is changed to 3*f(x)?
200
That is the definition of exponent.
What is "The number of times a number is to be multiplied by itself." a definition of?
200
That is the definition of logarithm.
What is this a definition of: "The power to which you must raise a base number in order for it to equal another number that is provided as an argument."
300
When F(x) = 3x, x=2, and G(x) = x+7, the answer is 27.
What is F(G(x)).
300
It must be "one to one", in other words, for every output, there is a single input.
What condition must be met by a function in order for it to have an inverse function?
300
To transform f(x) in such a way you change f(x) to f(8x).
How do you compress f(x) horizontally by a factor of 8?
300
That rule explains how to multiply exponents of the same base.
What does the rule "x^a * x^b =x^a+b" explain?
300
The log of that number in base 10 is 5.
What is log(10,100000)?
400
The domain of the translated square root function is: All real numbers less than or equal to -3.
What is the domain of the translated square root function f(x)=√(-x-3)?
400
The inverse of the given function is: f(x)=(4x+7)/3
What is the inverse of the function: f(x)=(3x-7)/4
400
When f(x) is changed to that, f(x) is shifted to the left by 3, is stretched horizontally by a factor of 1/3, and is compressed vertically by a factor of 1/4.
What happens when f(x) is changed to 1/4* f(1/3x-3)?
400
Exponents of that kind result in a fractional answer that looks like 1/x^e
What do all negative exponents result in?
400
In base 2, the log of that number is 7.
What is log(2,128)?
500
The domain of the translated square root function is: All real numbers greater than or equal to 3.
The range of the translated square root function is: All real numbers greater than or equal to -6.
What is the domain and range of the translated square root function f(x)=3√(x*3)-6
500
f(x)=√x is the inverse of that parent function when it is limited in such a way.
What is the inverse of the function f(x)=x^2 when it is limited so that x<=0?
500
That rule applies to "a" when "a" is "a" as in: f(ax).
What does the rule "If 01, then the function is compressed horizontally by a factor of a" apply to?
500
Any number raised to that kind of exponent simplifies to the format of:
s(root)√(x^e)
What results when you raise a number to a fractional exponent (x^(e/s))?
500
In base 10, log(4) + log(3) equals log(that number).
In terms of other logarithms, what are two logs that added together equal log(12)? log(x)+log(y)=log(x*y).