Functions
Transformations
Exponents
Logarithms
Geometry
100
Exponential function Range: all real numbers; y>0
What is the range of f(x)=2^x?
100
The quadratic function is shifted up 1 unit.
How many units up is the function f(x)=(x^2)+1 shifted?
100
x^(x+y)
What is x^x*x^y condensed to?
100
log_b_a=x <-> x^b=a
What is the definition of a logarithm?
100
∠a+∠b=180°
What are supplementary angles?
200
quadratic equation Domain: all real numbers; x≥2 Range: all real numbers
What is the domain and range of f(x)=(x^2)+2?
200
The square root function has a vertical stretch of 5.
What is the vertical stretch in the square function f(x)=5sqrt(x)?
200
5sqrt(x)
What is x^(1/3) with no exponents?
200
log(4)
What is log(2)*log(2) or log(6)/log(2)?
200
The opposing angles in intersecting lines are congruent.
What are vertical angles?
300
Zeroes: (2,0)(-5,0)
What are the zeroes in the factored quadratic equation f(x)=(x-2)(x+5)?
300
The absolute function has a horizontal stretch of 2.
What is the horizontal stretch in the absolute functions f(x)=|2x|?
300
x^(-1/2)
What is sqrt(1/x) in exponential form?
300
x=2
What is x when ln100?
300
∠A+∠B+∠C=180° 180°=ΔABC
What does triangle sums conjecture say?
400
No. It's not one to one.
Is f(x)=x^2 a one to one?
400
The parent function of f(x)=x^3 is stretched vertically by 2 and shifted up by 5 units.
What is the transformation from the parent cubic function of f(x)=x^3 to f(x)=2(x^3)+5?
400
x^2.5
What is sqrt(x^2) with only exponents?
400
log(125)/log(5)
What can log_5_125 be also written into?
400
If two angles are supplementary to the same angle, then they must be congruent to each other.
What is the definition of congruence?
500
f(x)=sqrt(x-5)
What is the inverse function of f(x)=(x^2)+5?
500
The parent function of 2^x is stretched vertically by 2, stretched horizontally by 4, shifted to the right 1 unit, and up 6 units.
What is the transformation from the parent function of 2^x to f(x)=2(2^(4x-1))+6?
500
[(4^1/2)^5x]/2^3x
What is x^2x expanded to?
500
4^x=2^x+2
What is log(2^(x+2))=Log(4^x) in exponential form?
500
m∠1=m∠2 & m∠2=m∠3
What does m∠2 equal to if m∠1=m∠3 and m∠3=m∠2?
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