What is a relation between a set of inputs and a set of outputs with the property that each input is related to exactly one output?
100
The point that corresponds to (3,8) on the graph of the inverse function of y = 2^x
What is (8,3)?
100
The definition of a transformation.
What is moving a shape so that it is in a different position, but still has the same size, area, angles and line lengths?
100
Simplify (a^5)^2/(a^2)(b^3)
What is a^8/b^3 ?
100
The definition of a logarithm.
What is the inverse of an exponential?
200
f(g(1)) if f(x) = x^2 and g(x) = x-1
What is 0?
200
The condition that must be met by a function in order for it to have an inverse function.
What is the horizontal line test?
200
An equation for the curve obtained by transforming the function f(x) - 3^x by a horizontal squeeze of 3.
What is f(x) = 3^3(x)
200
The value of x in 2^3x = 2^24 (Solve for x).
What is x = 8?
200
Solve for x: 10^x = 3
What is 0.477?
300
f(f(2)) if f(x) = x^2 and g(x) = x-1
What is 16?
300
The inverse of f(x) = 3x - 5
What is f^-1 (x) = (x + 5)/3 ?
300
Identify the new zeroes after the transformation y = f(x-4), given that the zeroes of f(x) are -2, 1, and 6.
What are (2,0), (5,0), and (10,0)?
300
The value of x in 8^2x = 2x-2 (Solve for x).
What is no intersection point/ no solution?
300
Rewrite this logarithmic equation: 5^3 = 125.
What is log(5,125) = 3?
400
The domain and range of g(x) = 3f(x/2) when the domain of function f is all numbers between -4 and 6, inclusive, and the range of f is all numbers between -3 and 5, inclusive.
?
What is D{f} = [-8, 12] and R{f} = [-9,15]?
400
The inverse function of f(x) = 2x^5 + 3.
What is f^-1(x) = ^5 square root of (x-3)/2?
400
An equation for the curve obtained by transforming the function f(x) - 3^x by a horizontal shift of 2 to the left and a vertical stretch of 8.
What is f(x) = 8(3^x+2)?
400
An equivalent way to write (b^1/2)(b^1/3)(b^1/6).
What is b^1?
400
A way to write log(3,30) as the sum of two other logarithms.
What is log(3,2) + log(3,15) = log(3,30)?
500
The zeroes of the function f(x) = x^3 - x^2 + x.
What is (0,0)?
500
The inverse of h(x) = (x+1)/(x-1).
What is no inverse function?
500
The equation of the transformed function g(x) if f(x) was shifted 4 units to the left, 2 units down, flipped vertically, and stretched horizontally by a factor of 2, when given f(x) =
(x-1)^2 - 1
What is g(x) = 2(-x+3) -3 ?
500
Value of x in 8^(2x-1) = 16^(x+1). (Solve the equation)
What is x = 7/2?
500
Given that log(b,5) = 0.827 and log(b,20) = 1.540, find log(b,100).