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Functions: D,R,C,I
Functions: Transformations
Exponents
Logarithms
Geometry
100
The inverse of f(x) = {(0,-2), (1,0), (2,2), (3,4)}
What is (f^-1)(x) = {(-2,0), (0,1), (2,2), (4,3)}
100
(x-2)^2
What is shifting x^2 right two?
100
3^4*3^5*4^5 simplified
What is 3^9*4^5
100
log(b/6) expanded
What is log(b)-log(6)
100
Parallel lines
What is equal slopes?
200
Inverse of y= -4x+3
What is (x-3)/-4 =y
200
0<a<1
What is stretching horizontally?
200
(a^6*b^3) / (a^2*b) simplified
What is a^4*b^2
200
5^3=125 written in logarithmic form.
What is log base 5 of 125 equals 3.
200
Perpendicular lines
What is opposite reciprocal slopes?
300
Domain of {4(x-1)} / {-3(x-4)}
What is all real numbers except 4
300
Two coordinates in the graph y=(1/5)^(x+2)
What are (-2,1) and (0, 1/25)
300
{(-5a^-1*e^-3*k)^-2} / (3ae^-1*k^2)^3
What is 25 / (27a^5*e^3*k^4)
300
log base 8 of (te) expanded
What is log base 8 of t plus log base 8 of e
300
Midpoint of (4,2) and (0,5)
What is (2,3.5)
400
Inverse of (2x-1) / (2x-3)
What is (-3x+1) / (-2x+2)
400
In the general form of the exponential function, there are three constraints.
What is a cannot equal 0, b>1 and b cannot equal 1?
400
a^n*a^m= a^(m+n) justified.
What is a^n+a^m =(a*a*a*a*a) * (a*a*a*a*a*a) n times m times = (a*a*a*a*a*a*a*a*a) n+m times =a^(m+n)
400
log base 4 of (2x-1) = log base 4 of (5x-8)
What is x= 7/3
400
Something that it true but can be proven.
What is a theorem?
500
The formula for the nth term of the geometric sequence: 9,36,144,576,2304,9216
What is an= 9(4)^(n-1)
500
f(x), g(x) and h(x) when f(g(h(x)))=(2^(x+2)^2)-3
What is h(x)=(x+2)^2, g(x)=2^x and f(x)=x-3
500
(a^m) / (a^n) = a^(m-n)
What is (a^m) / (a^n)= (a*a*a*a*a*a*a) / (a*a*a*a*a) m times n times = (a*a) =a^(m-n)
500
Asymptote and x-intercept of f(x)=log base 3 of x
What is y=0 and x-intercept: (1,0)
500
The supplement of the angle is 60 less than twice the supplement of the complement of the angle.
What is 70 (the complement)