Functions: Domain, Range, Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
The set of all possible x values.
What is the domain?
100
f^1(x)=12-2x
What is the inverse of f(x)=6-x/2?
100
y=x+2
What is the equation for a linear function that undergoes a transformation moving it up two?
100
11x^3
What is 17x^3 - 6x^3?
100
log(4,1024)=5
What is 4^5=1024 in logarithmic form?
200
It must pass the vertical line test
What is "How can you tell if a graphed line is a function"?
200
f^1(x)=(x-2)/3
What is the inverse of f(x)=3x+2
200
y=((x-3)^2)-2
What is the equation for a quadratic function shifted to the right 3 and down 2?
200
1/(4x^2)
What is (4x^3)/(16x^5)?
200
25
What is log(5,x)=2?
300
R=All real numbers greater than 0, D=All real numbers
What is the domain and range for function f(x)=x^2?
300
Yes
What is "does an inverse function have to be one-to-one"?
300
A cubic function is horizontally shrunk by 2, moved to the right 17, and down 22.
What is Describe the transformations done to the following equation: y=2(x-17)^3-22
300
4^6 or 4096
What is (((4^3)^2)^1)?
300
2
What is log100/log10?
400
g(x)=175
What is "If g(x)=7x and f(x)=25, find g(f(x))"?
400
y=x
What is the equation of the line that the inverse is reflected across?
400
A quadratic function shifted up 7, then back down 6, left 5, and flipped over the y-axis.
What is y=-((x+5)^2)+1
400
12 = 2x-1 13 = 2x 13/2 = x
What is 5^12 = 5^(2x−1)?
400
(log(x,a))*(log(x,b) / log(x,a)) = logxb
What is express (log(x,a))(log(a,b)) as a single logarithm. Use the change of base formula!
500
Nope, the domain does not change.
What is "does the domain of a function change when you shift it up or down"?
500
it is not a function
What is "Is the inverse of y=2|x-2| a function"?
500
y=(2(-x+15)^3)+7
What is a cubic function flipped over the x-axis, shifted up 7, to the left 15, and horizontally shrunk by 2.
500
((3^2)^3-2x) = 3^(2x-1) 3^(6-4x) = 3^(2x-1) 6-4x=2x-1 -6x=-7 x=7/6
What is 9^(3−2x) = 3^(2x+1)?
500
7/2
What is simplify: log6(216) + [ log(42) - log(6) ] / log(49)?
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