Functions: Domain, Range, Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
The amount of time a which 50% of something will be gone.
What is the definition of half-life.
100
Switching x and y
What is a short cut to find the inverse of a function
100
f(x)=(x-5)-2
What is the function f(x) shifted to the right 5 and down 2
100
a^(n)+a^(m)
What is a^(n+m)
100
log(a*b)
What is the rule for a logarithm when, log(a)+log(b)
200
A relation where for every input there is one output
What is a function
200
f(x)=(x+5)/3
What is the inverse of f(x)=3x-5
200
f(x)=(3x+6)
What is the function f(x) shifted to the left 6 and horizontally shrunk by a factor of 3
200
The square root of x is another notation of
What is 1/x
200
log(10,1000)=3
What is 10^3=1000 in log form
300
The domain and range of an exponential function
What is: Domain (-∞,∞) Range (0,∞)
300
Given g(x)=x+2, f(x)=3x-2, f(g(x))=?
What is f(g(x))=3(x+2)-2
300
f(x) shifted to the left 2, flipped over the y axis then expanded by a factor of 4, and shifted down 7
What is f(x)=-4(x+2)-7
300
10^.301=2, 10^.477=3, find x when 10^x=6
What is x=.778
300
An expanded way of saying log(8)
What is log(4)*log(2)
400
The zeros of f(x)=-(x-1)^2+1
What is x=0 and x=2
400
y=(x+1)/(x-1)
What is the inverse of f(x)=(1+x)/(x-1)
400
f(x)=-2^(-2x+4)
What is the exponential function f(x) reflected over both the x and y axes, horizontally shrunk by a factor of 2, and shifted four units to the left.
400
The simplified version of 4x^(9/16)+36y
What is (2x^(3/4)+6y)^2
400
log(0.25) and log(4) only differ by a sign
What is 4^1=4 4^-1=.25
500
A list of 6 out of the 9 parent functions
What is (must match a least 6): linear: y=x quadratic: y=x^2 exponential: y=2^x absolute: y=abs(x) square root: y=sq.root(x) cubic: y=x^3 inverse: y=1/x step function:y=[x] semi-circle: y=sq. root(1-x^2)
500
A graph with the coordinates, (-1,2), (1,3), and (2,4)
What is the inverse of a graph with the coordinates, (2,-1), (3,1), (4,2)
500
The logarithmic function shifted to the left 5 units, down 1 unit, and reflected horizontally. (Where "b"=5)
What is f(x)=log(b,(-x+5)-1)
500
The expanded version of (8a*(3/5))^2 + (b^2-4)^3
What is (16a (9/25)) + (b^6-64)
500
Given that b>0 and b does not equal 1, y=b^x iff log(b,y)=x
What is the definition of a logarithm
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