The horizontal line test determines this type of a graph.
What is a graph that is one-to-one?
100
Moving the function y=f(x) to the left 2 units.
What is y=f(x-2)?
100
3^2 is this simplified.
What is 3x3?
100
b^x=y iff log(b,y)=x
b does not equal 1
b>0
Domain: all real numbers
Range: y>0
What is the definition of a logarithm?
100
m
What is 40 degrees.
200
A relationship between two variables such that for every value of the independent variable, there is at most one value of the dependent variable.
Function Notation: y=f(x) is read “y equals f of x”
What is a function?
200
Moving the function y=f(x) down 1 unit and to the right 3 units.
What is y=f(x-3)-1?
200
x^2+x^2+x^2 is this expanded.
What is 3x^2?
200
10^x=5 is this in exponential form.
What is log(5)=x?
200
Something we assume to be true.
What is a postulate?
300
A sequence in which one terms equals a constant added to the preceding term. We call the constant the common difference, usually denoted by d.
What is an arithmetic sequence?
300
Moving the function f(x)=|x| down 5 unit and to the right 3 units and to the left 2 units.
What is f(x)=|x-1|-5?
300
x equals this in the equation 3^(3-3x)=9.
What is x=0?
300
log(b,a)=log(c,a)/log(c,b)
What is the change of base formula?
300
The sum of the measures of angles in every triangle equal 180 degrees.
What is the triangle sum conjecture?
400
A visual indicator that two functions are inverses.
What is the line y=x?
400
A sketch that looks like a "V" with a vertex at (3,22)
What is f(x)=|x-22|+3
400
-6s^-6/2^-6 is this not simplified.
What is -6?
400
Domain: all real numbers. Range: y>0.
What is the domain and range of a logarithm?
400
A pair of angles formed by a transversal intersecting two lines that lie between the two lines and are on the same side.
What are same side interior angles?
500
This is the set of possible x-values and the set of possible y-values for the graph of the exponential function.
What is Domain: all real numbers and Range: y>0.
500
Transforming the function y=f(x) with a horizontal squeeze by a factor of 3 up 8 units.
What is y=f(3x)+8?
500
a m times + a n times=a^(m+n)
What is the justification of a^m*a^n=a^(m+n)?
500
log(b^n,x^n)=log(b,x)
What is the base and argument are like powers property?
500
Statement: a is parallel to b with c as a transversal. Reason: given.
Statement: <2 is congruent to <4.
Reason: corresponding angles conjecture.
Statement: m<2+m<4=180 degrees.
Reason: Supplementary angles conjecture.
What is the proof for the same-side interior angles theorem?