Functions: Domain, Range, Composition, Inverses
Functions: Transformations
Exponents
Logarithms
Geometry
100
Y= All real numbers
What is the range of y=2x-3?
100
y=(x-3)^2 +2.
Write this as an equation: The function x^2 shifted up 2, right 3.
100
x=2
Find x in the equation: 4^1/2=x
100
12
What is the base of log(12,x)?
100
Measure of angle y=60˚.
If angles x and y are a vertical pair, and the measure of angle x=60˚, what is the measure of angle y?
200
x= (4,∞)
What is the domain of y=(x-4)^1/2?
200
The function x^2 shifted left 4, up 3 and shrunk horizontally by a factor of 2.
Graph the equation: y=2(x+4)^2 +3
200
x=-3
Solve for x in the equation: 5^x=1/125
200
x=0
What is x in the equation log(14,1)=x?
200
Measure of angle y=160˚.
If angles x and y are supplementary angles, and the measure of angle x=20˚, what is the measure of angle y?
300
X=0
What is the asymptote of y= (x^-3) + 5?
300
y= -(.5x+5)^3 -3
Write this as an equation: The function x^3 shifted left 5, down 3, expanded horizontally by a factor of 2 and flipped on the x-axis.
300
(b^2/42)
Evaluate the equation: 1/(42b^-2)
300
log(4,20)=5
What is the logarithmic equation of the the exponential equation 4^5=20?
300
x=11
Points A,B, and C are points on a line in that order. If line segment AB= 2x+3, line segment AC= 35, and line segment BC=x-1, what is the value of x?
400
y=((4-x)^2) -5 for x≥-5
What is the inverse of y=4- (5+x)^1/2?
400
The function x^2 flipped on the x axis, shifted down 1 and left 5, and horizontally shrunk by a factor of 2.
Describe the transformations to the function: -f(x)=(2x+5)^2 -1
400
(25x^2)/2))
Evaluate the equation: (2/(5x))^-2 * 4^1/2
400
x=(1/4)
What is x in the equation log(16,2)=x?
400
A theorum needs to be proven, while a postulate cannot be proven nor disproven.
Define the difference between a theorum and a postulate.
500
g(x)=-3x-3 h(x)=x^1/2 f(x)=x-4 t(x)=3x
Name four base equations in this equation: y= -3*((3x-4)^2)^(1/2) -3
500
The function x^1/2 shifted right 2, up 1, stretched vertically by a factor of 2, compressed horizontally by a factor of 3.
Graph the equation 2f(x)=(3x-2)^(1/2) +1
500
16/25
Evaluate the equation: (125/64)^-2/3
500
log(2,10)=x
Write 2log(2,5)-log(2,5/2)=x as a single logarithm.
500
Measure of angle E= 40˚.
Measure of Angle A= 40˚, on a plane with two parallel lines intersected by a transversal. If angle A and B are same-side interior angles, angles B and C are a vertical pair, angles C and D are corresponding angles, and angles D and E are supplementary angles, what is the measure of angle E?
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