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Functions: Domain, Range, and Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
The amount of time at which 50% of something will be gone.
What is the definition of half-life.
100
Given g(x)=x+1, f(x)=4x+2 f(g(x))=?
What is f(g(x))=4(x+1)+2
100
f(x)=(x-3)+1
What is the function f(x) shifted to the right three and up one
100
A simplified version of 9^10*9^6
What is 9^16
100
log(b,1)=0
What is the justification for the rule that anytime 1 is the argument the logarithm will equal 0.
200
The domain of the square root function, the inverse function, and the semi-circle function.
What is square root: D:(0,infinite) inverse: D:(0,infinite) semi-circle D:[-1,1]
200
h(x)=x-1/2 f(x)=x+6/4
What is the inverse of h(x)=2x+1 and f(x)=4x-6
200
The quadratic function h(x) shifted 3 units to the right, 2 units down, and flipped vertically.
What is h(x)=(-x-3)^2-2
200
An expanded version of 6^16 * 5^48
What is (6^4*5^12)^4
200
log(6,4) + log(6,3)
What is log(6,12) written as the sum of two other logarithms
300
A set of values that can be inputed into a function. A set of values the function produces.
What is the definition of Domain and Range respectively.
300
f^-1(x)=sq.root (x-4/6)
What is the inverse of f(x)=6x^2+4
300
f(x)=(1/(-x-7))+4
What is the inverse function f(x) shifted to the right seven units, up four units, and reflected over the y-axis.
300
(a*a*a...*a) m-times * (a*a*a...*a) n-times = a^m+n
What is the justification of the rule a^m*a^n=a^m+n
300
log(3,27)=3
What is the simplification of log(3,27)
400
The test to determine whether a graph is a function. The test to determine if the function has an inverse.
What is the Vertical line test and the Horizontal line test respectively.
400
h(x)=? g(x)=? Given, g(h(x))=6(x-4/9)+8
What is h(x)=(x-4/9)+8 g(x)=6(x)
400
f(x)=-2^(-x+3/2)
What is the exponential function f(x) reflected over both the x and y axes, horizontally stretched by a factor of two, and shifted three units to the left.
400
The expanded version of 8x^12/27y^6
What is (2x^4/3y^2)^3
400
10^9
What is the simplified version of log(1000000000)
500
The nine parent functions.
What is: 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
h^-1(x)=(x/2)^2+1
What is the inverse of h(x)=2*sq. root(x-1)
500
The logarithmic function shifted to the left 4 units, up 6 units. (Where "b"=5)
What is f(x)=log(b,(x+4)+6)
500
The simplified version of 18(a^3*b^-2)^-6
What is 18(b^12/a^-18)
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