How to make the function f(x) = x^2 - 2 one-to-one
What is restricting the x values to only positive numbers
100
The graph shifted right three
What is the graph's relation of f(x-3) to f(x)
100
a^m * a^n
What is a^(m+n)
100
Product of Two Logs Property
What is (log(a,b))(log(b,c))=(log(a,c))
100
When two parallel lines (m and n) are intersected by a transversal c. The angles located in the upper right (1) and the angle in the lower left (2) are congruent
What are alternate exterior angles
200
The inverse function of f(x) = (x+7)/3
What is f^-1(x) = 3x - 7
200
The transformations that occur with the graph 2f(x+3)+5
What is the equation for a graph that shifted left three, up five, and stretched vertically by 2.
200
the definition of half life
What is the time it takes for a substance to become half as much
200
log(b,-x)
what is an undefined log
200
The midpoint and distance between points (-3,0) and (-1, 3)
What is (-2, 1.5) and the square root of 13
300
The domain and range for the function 2x^2 - 5 and its inverse
What is
D: [0, +infinity)
R: [-2, +infinity)
D^-1 : [-2, +infinity)
R^-1 : [0, +infinity)
Inverse: f^-1 = square root of ((x+5)/2)
300
a graph intersects the x axis at -2, 0, 1, and 3. The answer is the translation that occurs when the x values are -5, -3, -2, and 0
What is a horizontal shift of 3
300
x in the equation 2^(x+1) = 8^(2x-3)
What is 2
300
the expanded form of log((u^-5 * s^-3)/v^4)
What is What is (-5 log(u) - 3 log (s)) - 4 log (v)
300
the measure of angle ACK which is 3x+5 when the angle of KCE is 4x-3 and the angle of ACE is 51
What is 26 degrees
400
the domain, range, and inverse of f(x) = log(3,x) - 5
What is
Domain: (0, +infinity)
Range: [-6, +infinity)
Inverse: 243 * 3^x
400
A list of all the transformation that occur to f(x) = -log(5, x-7) + 4
What is the translation that reflects vertically, shifts right 7, shifts up four
400
the simplified version of [((5p)^3 * x^-2 * y^-2)/((-2p)^3 * x^-1* y)]^3
What is 125/8x^3 * y^9
400
(log(7,5))(log(3,7))(log(2,27))(log(5,2))
What is 3
400
triangle ABC where A is the top point, B is the right point, and C is the left point. Angle ECA opens outside the triangle and is supplementary to BCA. The answer is angle CAB when angle ECA is 110 degrees and angle ABC is 40 degrees
What is 70 degrees
500
the domain of the inverse of the function f(x) = log(3,x-5) + 4
What is [+infinity, 5)
500
function f(x) = log(5,x) + 5 and function g(x) = 4^(x-3) intersect at a point. The answer is the point (to the nearest tenth) that the lines intersect after being translated four down and three right
What is the point (7.2, 1.9)
500
f(x), g(x), h(x) when f(g(h(x)))= 2^[(x+2)^2] -3
What is
f(x) = 2^x - 3
g(x) = x^2
h(x) = x + 2
500
The Base and Argument are Like Powers Proof
What is What is
y = log(b^n, x^n) m= log(b,x) --> given
b^ny = x^n b^m = x --> def of a log
b^ny = x ^n b^nm = x^n --? Exponent POE
b^ny = b^nm --> substitution
ny = nm --> Exponent POE
y=m --> division POE
log (b^n, x^n) = log(b,x) --> substitution
500
The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. The answer is the complement of this angle