Show:
Composition and Inverses of Functions
Geometric Sequences
Exponential Functions
Logarithmic Functions
Postulates and Theorems
100
This is a relation for which every value of the independent variable has at most one value of the dependent variable.
What is a Function?
100
This is called a Sequence.
What is "An ordered list of numbers"?
100
This is a function with a variable in the exponent.
What is an Exponential Function?
100
This is the inverse function of an exponent.
What is a logarithm?
100
This postulate states that "Two points determine a line".
What is the Line Postulate?
200
This type of function reverses the operations of the original function.
What is an Inverse Function?
200
This type of sequence contains terms that are generated by multiplying the previous term by a constant.
What is a Geometric Sequence?
200
This can also be expressed as x^1/2.
What is sqrt(x)?
200
This is equivalent to the logarithm base b of y equals x.
What is y = b^x?
200
This Theorem states that "Supplements of congruent angles are congruent".
What is Supplements of Congruent Angles Theorem?
300
This can be represented by a dynagraph.
What is a Composite Function?
300
The difference in a sequence can be found by doing this.
What is finding a common ratio?
300
This number can be found by plugging 4.31 in for x in the equation f(x)=3*7^x+4
What is 13171.2?
300
This number can be found by plugging 42.364 in for x in the equation f(x)=-6.269log8.624/logx
What is -5.258?
300
The Converse of the Alternate Interior Angle Theorem states this.
What is "If two lines are cut by a transversal forming congruent alternate interior angles, then the lines are parallel"?
400
The answer to this equation can be found by plugging the value of 5 in for x in the equation f(g(x)) where f(x)=2.6x+50 and g(x)=x+1/2.
What is 64.3?
400
The ratio found in the sequence sqrt(3),-20.785,249.415, can be found by finding common difference.
What is -12?
400
The function f(x)=3*2^(x+1)+2435 passes through a few of these points.
What are (0,2441), (1,2447), (2,2459), (3,2483), etc.?
400
The function (logx)/(171log45)-10 passes through a few of these points.
What are (1,-10), (2,-9.9989), (3,-9.9983), etc.?
400
This postulate states that "If two coplanar lines are cut by a transversal forming congruent corresponding angles, then the lines are parallel".
What is the Converse of the Corresponding Angles Postulate?
500
The inverse of this function is f^-1(x)=257(x-12)-2x.
What is f(x)=(x+3084)/255?
500
This is the explicit equation for the sequence -68,-102,-136.
What is An=-34(n+1)?
500
This function passes through the points (0,26) and (3,17506.6768).
What is f(x)=25*8.88^x+1?
500
This function passes through the points (1,45) and (2,91.44).
What is f(x)=67logx+45?
500
This is stated by the First Corollary of the Triangle Angle Sum Theorem.
What is "In a right triangle, the acute angles are complementary"?