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Functions: Domain, Range, Composition, Inverses
Functions: Transformations
Exponents
Logarithms
Geometry
100
Find the inverse of f(x) = -4x +3
What is (x-3)/-4 = y
100
Describe the transformations from the parent function: y = -2(2)^(x)-3
What is a vertical flip, a horizontal stretch down 2, and all y values down 3
100
Describe an additive way to rewrite the expression x^a * x^b
What is x^(a+b)
100
Expand the logarithmic expression log(a,(x/y))
What is log(a,x) - log(a,y)
100
Plot the points (-3,1) and (5,3) on graph paper. Find the point midway between these points and label its coordinates.
What is (1,2) (See graph paper)
200
For f(x) = log(3,x+3) state the domain and range.
What is x > 3, y = R
200
Define the parent function the equation y = -2(x-1)^(2)+1 is based off.
What is y = x^2
200
Describe a parenthetical way to rewrite the expression x^(a*b)
What is (x^a)^b
200
Write in logarithmic form the exponential equation m = b^r
What is log(b,m) = r
200
Two angles on opposite sides of the transversal and outside the lines are defined as what angles.
What is Alternate Exterior Angles.
300
Find the inverse f(x) = -7(2x-1)^2 -1
What is the square root of (((x+1)/-7))+1)/2 = y
300
Describe y = -3(x-2)^2 -5 in words
What is y = -3(x-2)^2 -5
300
Describe a way to rewrite the expression (x^a)/(x^b) using 1 as a numerator
What is (1)/(x^(b-a))
300
Write in exponential form the logarithmic equation y = log(b,x)
What is b^y = x
300
If A, C and D are collinear, AD = 13, and CD = 3, what are the two possible answers for mAC.
What is 10 or 16
400
Find the inverse f(x) = (2x-1)/(2x-3)
(-3x+1)/(2-2x) = y
400
Sketch the following equation without a calculator, f(x) = log(2,x-2)
What is (See graph)
400
Describe a way to rewrite the expression x^(1/a) using x squared
What is a to x squared
400
Expand the logarithmic expression log(10x^(1/2)y^6)
What is 1 + (1/3)log(x) + 6log(y)
400
Describe the definition of a transversal.
What is a line that divides two exactly lines creating eight angles.
500
A bacterial colony triples every 4 minutes. If there are 8 bacteria to start and how there are 2,000,000 how much time has passed?
What is 34 minutes?
500
Evaluate log(8,4) without using a calculator.
What is 2/3
500
Describe a positive way to rewrite the expression (x/y)^-a
What is (y/x)^a
500
Condense the following logarithm 9 + 2log(3,x-(1/2)) - (1/2)log(3,y)
What is log(3) * ((19583x^2)/square root of y)
500
Describe the definitions of both supplementary and complementary angles.
What is exactly two angles whose measures sum to 180 degrees and exactly two angles whose measures sum to 90 degrees, respectively.