Domain & Range
(Fun)ctions!
Inverses
E^xponents!
Logarithms
100
A set of values that can be inputed into a function; A set of values that the function produces
What is the domain and range?
100
This function is y=[x]
What is the step function?
100
f^-1(x)=(x-5)/3
What is f(x)=3x+5
100
a^m * 1/a^n= a^m *a^(-n) a^(m+(-n))= a^(m-n)
What is a^m/a^n
100
Given that b>0 and b≠1; y=b^x iff log(b,x)
What is a logarithm?
200
x<-1≥5 and y≤17 in interval notation
What is (-1,5] and (-∞,17]
200
The quadratic function reflected over the x-axis, shifted to the left by 6, and shifted vertically by 1.
What is y=-(x+6)^2 +1?
200
What function is the inverse reflected over?
What is y=x; linear function?
200
solve for x: 8^2x=2x-2
What is x=-2/5
200
Any logarithm in which the base and argument are the same will equal 1.
What is log(b,b)?
300
The domain of this function is -1≤x≥1 and the domain of the other function is x≥0.
What is the semi-circle function and the square root function?
300
The word to describe a horizontal stretch or shrink.
What is a dilation?
300
How is y=x^3 written as a inverse
What is y=x^1/3
300
When a half life is 1000 years and 200 years ago there were 30 units of it, how many units are there now?
What is 26.08 units?
300
4=log(10,000) is the same as writing
What is 10^4=10,000?
400
On a graph, there are 5 points: (-2.3,-1) (-5,8) (-6,-9) (3.3,7) (2,0), so the domain and range are.
What is [-6,3.3] and [-9,8]?
400
The name of the parent function that is not one-to-one and that does not pass the horizontal line test.
What is the quadratic function?
400
find the inverse of y=12(x-4)^3+36
What is ({((x-36)/12)}^1/3) +4?
400
On the graph of f(x)=b^x, when 0
What is exponential decay?
400
This graph has the asymptote of y=0; y-intercept of (0,1); and no x-intercept.
What is f(x)=10^x
500
One thing that these functions have in common: y=x y=x^2 y=absolute value x y=x^3
What is the domain?
500
This logaritm function was shifted up 8 and to the right by 6, in addition, the x-intercept is.
What is y=log(x-6) +8 and (6,0)?
500
For this function: g(x)=x^2+8 find the inverse and is it one-to-one?
What is (x-8)^1/2 and not one-to-one?
500
Using this equation f(x)=a*bˆx solve for a and b using these two points (1,6) and (3,24) and find the domain and range.
What is f(x)=3*2ˆx
500
log(3,2) + log(3,15) log(3,1) + log(3,30) log(3,5) + log(3,6) log(3,3.14) + log(3,30/3.14) These all equal
What is log(3,30)?
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