Functions
The set of inputs of a function.
What is the domain?
The set of outputs of a function.
What is the range?
The types of transformation that would make a sine function taller.
What is a vertical stretch?
The type of function that has an inverse.
What is 112?
The correct way to read "ln x".
What is "the natural log of x"?
Do not accept "ellen ex".
The type of relation the set {(1,0), (2, 4), (3,2) (1, 1) } is.
What is not-a-function?
The range of f(x) = sin x.
What is the interval from minus one to one?
The transformation done by adding a positive constant to f(x).
What is a horizontal shift up?
The property of composing a function with it's inverse to get the input, i.e. f(f-1(x)) = x.
What is cancellation?
The type of function that is the inverse of an exponential function.
What is a logarithmic function?
The type of relation f(x) = +/- sqrt(x) is.
What is not-a-function?
The domain of 1/sqrt(x+4).
What is (-4, infinity)?
or
What is x > -4?
The axis the function -f(x) is flipped over.
What is the x-axis?
The inverse of f(x) = 3x - 9.
What is f-1 = (1/3)x + 3?
3ln x + (1/2)ln y written as one logarithm.
What is ln (x3y1/2)?
The function, f(x) = x2 + 3, evaluated at f(-1).
What is 4?
***Daily Double***
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Write F(x) = - sqrt(x+3) as the composition of three funtions, f, g, and h. I.e. F(x) = f o g o h.
The two transformations in 2x2 + 1.
What are a shift up by 1 and a vertical stretch by a factor of 2?
The inverse of y= 1/(x+1).
What is y = (1/x) - 1?
( a-4b2 )/( a2b1/2) simplified.
What is (b3/2 / a6)?
The function, f(x) = x3 + x2 - 1, evaluated at x = 2.
What is 11?
The composition of f(x) = 1/(x + 1) and g(x) = 4x2 - 1 simplified.
or for the overachievers:
What is (1/(2x))2?
The three transformations in -|x+3| -1
What are a shift down 1, a shift to the left by 3 and a reflection over the x-axis?
The inverse of sqrt(2x + 3) -1.
What is [(y+1)2 - 3]/2?
log2(3x + 1) = 4 solved for x.
What is x = 5?