Functions: Domain, Range, Composition, Inverses
Functions: Transformations
Exponents
Logarithms
Geometry
100
Range of y=x+2
What are all real numbers?
100
Type of transformation that y= 2f(x) is.
What is a vertical stretch?
100
The exponent rule b^-m= ____.
What is 1/(b^m)?
100
Definition of a logarithm
What is log(a,b)=x?
100
Difference between explanation vs. justification vs. proof.
What is explanation: something said/written to make something clear vs. justification: the act of proving something for a specific problem vs. proof: evidence or argument used with deductive reasoning, applicable to all problems?
200
Given that f(x)= 2x+3, and g(x)= 3x, find f(g(2)).
What is 15?
200
Type of transformation that y= f(2x) is.
What is a horizontal compression?
200
Definition/form of an exponential function.
What is y=a*b^x?
200
This formula allows you to solve a non-base 10 log in your calculator.
What is the Change of Base formula?
200
This postulate states that angle ABC + angle CBD = angle ABD.
What is the Angle Addition Postulate?
300
The line that an inverse function is reflected across.
What is y=x?
300
Type of transformation that y= (f(x))/2 is.
What is a vertical compression?
300
Given 2^(x-1) = 4^(3x+2), solve for x.
What is x = -1?
300
This logarithmic property states that log(a,b)=1/log(b,a).
What is the Logarithmic Reciprocal property?
300
The Segment Addition Postulate states...
What is AB+BC=AC?
400
Inverse functions must be ___ -__-___.
What is one-to-one?
400
Type of transformation that y= f(x/2) is.
What is a horizontal stretch?
400
This exponent rule states that a^x * b^y = ____.
What is a^(x+y)?
400
This logarithmic property states that a^(log(a,b))=b
What is the Power to a Log with Like Base property?
400
Difference between congruent and equal.
What is congruent means the figures are the same size and shape, equal compares numbers, not shapes.
500
If f(g(h))= (x-1)^2 + 3, then what is f(x) and what is g(x)? Give one possible pair of functions.
What is g(x)=x-1 and f(x)=x^2+3?
500
Axis that the transformation y= -f(x) reflects over.
What is the x-axis?
500
The formula for exponential growth (half life).
What is y=p(1 +/- r)^t?
500
Logarithms are the inverse of _______.
What are exponents?
500
Difference between a postulate and a theorem.
What is postulate- a widely accepted statement, no proof necessary vs. theorem- a statement that needs to be proved.
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