Functions: Domain, Range, Composition
Functions: Inverses
Functions: Transformations
Exponents
Logarithms
100
All possible input values of a function
What is the domain?
100
A reflection of the graph over the line y=x
What is the inverse of the graph?
100
The graph of f(x) stretched horizontally by a factor of k
What is f(1/kx)
100
The answer is x^a * x^b
What is x^(a+b)?
100
The answer is log(a*c)
What is log(a) + log(c)?
200
y is greater or equal to zero for the square root function
What is the range?
200
The inverse of x-1/2=y
What is y=2x+1?
200
The graph of f(x) is stretched vertically by a factor of three, stretched horizontally by a factor of two, shifted up one and shifted left two.
What is 3f(1/2(x+2))+1?
200
The y-intercept of the exponential function regardless of the base
What is (0,1)?
200
log base b(a)=x written as an exponential equation
What is b^x=a?
300
(2x+1)^2 if f(x) = x^2 and g(x) = 2x +1
What is f(g(x))?
300
The inverse is two
What is 1/2?
300
The vertex of the quadratic function shifted left 2 and up 3 with no other transformations
What is (-2,3)?
300
The amount of a substance remaining after 4 half lives when you start with 100 g
What is 6.25 g?
300
The inverse of f(x)=2^x
What is f(x)=log base 2 of x?
400
All possible inputs of a cubic function
What is the domain?
400
Replace y with x and x with y, then solve for y
How do you find the inverse of a function y=f(x)?
400
y=(x-1)^2 + 1
What transformation moves the y=x^2 function one unit to the right and one unit up?
400
x^(ab)
What is (x^a)^b?
400
The age of a .025 g of a substance which started as 25.6 g if the half life is 6 months
What is 5 years?
500
The domain and range of y=-1/(x-2) -3
What is all real numbers except x does not equal 2 and y does not equal -3?
500
The inverse is f(x)= 7x+3
What is (x+3)/7?
500
y=-1/2(x-2)^2+3
What transformation of the y=x^2 function is reflected over the x-axis, shrunk vertically by 1/2, shifted right 2 and up 3?
500
2
10 raised to what power is 100?
500
The inverse of y=3^(x+7) -4
What is -7 + log base 3 of (x+4)=y?
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