Functions: Domain, Range, Composition, Inverses
Functions: Transformations
Exponents
Logarithms
Geometry
100
The domain and range of the function f(x)=x^(2)+1
What is: Domain=All real numbers, Range=(1,∞)?
100
The linear parent function moved left two and up one
What is f(x)=(x+2)+1?
100
The value of x is equal to ten to the second
What is one hundred?
100
What is log(3, 2) when turned into an unsimplified exponential equation?
What is 3^(x)=2?
100
What are two angles that add up to 180 called?
What is supplementary angles?
200
The value of x at which the function f(x)=l-4x+2l crosses the y-axis
What is x=1/2?
200
f(x)=-x^2+6
What is the parabola function moved up six and reflected over the x-axis?
200
How is the equation 3^(x+2)=2^(x-3) false?
What is the bases being different?
200
The simplified version is log(2, 10/(2*x))=2 what is the unsimplified version?
What is log(2, 10) - (log(2, 2)+log(2, x))=2 ?
200
What is the side c of a right triangle if the two shorter sides are five and twelve?
thirteen
300
Is the inverse of function f(x)=12x+2
What is the inverse of f^1(x)=(x-2)/12
300
In the log function f(x)=log(b,x) the graph is ____ when the value of b is increased.
What is vertically squeezed?
300
(x^(-2)*y^(7)*z^(2))/(y^(-5)*x^(4)*z^(10)) is the unsimplified form of what?
What is y^(12)/(x^(6)*z^(8))?
300
Simplify log(3,3^(5x-3))
What is 5x-3=y?
300
In the intersection of two lines there are four angles that are numbered clockwise starting at 12 o'clock, and are numbered from 1 to four. Which angles are linear pairs? Which are vertical pairs?
Angles 1,3 and 2,4 are vertical angles. Angles 1,2 2,3 3,4 4,1 are linear pairs.
400
Is equivalent to: f of x is equal to negative three times the sum of six x to the power of one over two
What is f(x)=-3(6x^(1/2))
400
The resulting translation(s) on the parent function f(x)=1/x is g(x)=(1/(x-4))+23
What is the function moved right four and up twenty-three?
400
unsimplified it is 27^(x)=(1/9)
What is x= -2/3
400
Condence the following: 9+2*log(3, x)-(1/2)log(3, y)
What is log(3, (3^(9)*x^(2))/y^(1/2)) ?
400
Prove the alternate angle theorem from the corresponding angles conjecture. (the diagram is set up as such: there are two parallel lines a and b which are cut by a transversal named c, on line a, the vertical pair angles are called 1 and 2, on the same side of c and 1 and congruent to angle one is the angle 3)
1. a parallel b with transversal c (given), 2. angle1 congruent angle3 (corresponding angle postulate0, 3. angle1 congruent angle2 (vertical angles congruent), 4. angle2 congruent angle3 (transitive property) QED
500
A variation on a not one-to-one parent function can contain the points (-3,6) (2,-3) (6,-1)
What is the inverse function?
500
The function g(x)=x^(3)-4x resulting transformation(s) is f(x)=27x^(3)-12x
What is the graph being compressed on the x-axis by three
500
John earns 14% interest per year on his $2415 in his bank account, how many years until he has $4000?
What is 3.85104 years?
500
Solve 3^(4-3x)=6 for x
What is .790
500
What were Euclid's postulates?
1. A straight line segment can be drawn by connecting any two points. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center. 4. All right angles are congruent. 5. Parallel postulate
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