Functions: Domain, Range, Composition, Inverses
Functions: Transformations
Exponents
Logarithms
Geometry
100
Changing the domain to x>0
What is "How do you make a quadratic function 1 to 1"?
100
The equation of the parent function y=x^2, vertically stretched by a factor of 2, shifted right 3, and down 1/2.
What is f(x)=2(x-3)^2-.5?
100
Solve 2^4(2)(3)=x.
What is x=2^24?
100
Rewrite and solve 10=5^x.
What is log5/(10)=x and what is .698?
100
If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
What is the alternate exterior angle theorem?
200
f^-1=square root(x+2).
What is the inverse equation of y=x^2-2?
200
A square root graph shifted 3 to the right, down 5, and shrunk vertically by a factor of 5.
What is f(x)=.2(x+3)^.5-5?
200
Simplify (x^2(y^6)(z^3))/(y^8(x^7)(z^1).
What is z^2/x^5(y^2)?
200
Solve 8^log base 8 of 4=x.
What is x=4?
200
All angles in a triangle add up to 180 degrees.
What is the triangle sum conjecture?
300
The graph containing points (2,-2), (4,4), and (0,-8)
What is the graph of f(x)=3(x-3)+1
300
When a constant is inside the parentheses and is a whole number. Ex. f(x)=(5x+3)-.5.
What is horizontally shrinking?
300
Simplify (8^5)*(8^3).
What is 8^8?
300
Proof that loga(b)=1/logb(a) with reasoning.
What is 1. loga(b)=x, given. 2. logb(a)*loga(b)=xlogb(a), mult. POE. 3. loga(a)=xlogb(a), product of 2 logs property. 4. 1=xlogb(a), def. of a log. 5. x=1/logb(a), division POE. 6. loga(b)=1/logb(a), substitution.
300
Two angles with measures adding up to 180 degrees.
What is the definition of supplementary angles?
400
A graph with points (0,1), (-1, .5), and (-2,.25) with asymptote y=0.
What is the graph f(x)=2^x?
400
A cubic function horizontally stretched by a factor of two, vertically shrunk by a factor of three, shifted right 4/5, and up 2/3.
What is f(x)=1/3((1/2)x+.8)^3+(2/3)?
400
The number of years it will take a car valued at $30000 to reach a value of $20000 if the value decreases by 15% each year.
What is 2.49?
400
Proof that logb(1/a)=-logb(a) with reasoning.
What is 1. logb(1/a)=x, given. 2. x=logb(a^-1), property of negative exponents. 3. -1logb(a)=x, log of a power property. 4. logb(1/a)=-logb(a), substitution.
400
If angle 1 is congruent to angle 2, and angle 2 is congruent to angle 3, then angle 1 is congruent to angle 3.
What is the transitive property of congruence?
500
f^-1(x)=((x-2)/log2)+2.
What is the inverse of f(x)=2^(x-2)+2?
500
The alteration of x and y values as well as slope to produce and altered graph of the original parent function.
What is transformation?
500
The amount of money one will have after putting 1000 dollars in a bank that gives 4%compound interest annually after 50 years.
What is $7106.68?
500
The definition of the term: log(b^n)(x^n)=logb(x).
What is the base and argument are like powers property?
500
If angle ABD is bisected by segment BC, then measure of ABC+measure of CBD=measure of ABD.
What is the angle addition postulate?
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