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Vocabulary
Rational Functions
Transformations
Properties of Exponents
Logarithms
100
A function that has a polynomial in the numerator and the denominator.
What is a rational function?
100
An example of a rational function with a vertical asymptote at x = 3.
What is any rational function with a denominator of (x-3).
100
The transformation caused by a negative outside of the parentheses.
What is a reflection over the x-axis?
100
When you multiply the exponents together.
What is raising a power to a power?
100
The invisible base on the common log.
What is 10?
200
An invisible line that runs up and down, that the graph of a function never touches.
What is a vertical asymptote?
200
The horizontal asymptote when m>n.
What is y=0.
200
The transformation caused by an h value of -3, and a k value of 4.
What is translation right 3 and up 4?
200
The exponent that results in 1/(x^4).
What is x^ -4?
200
The irrational number 2.718..... that represents continual growth.
What is e?
300
This causes a "hole" to occur in our graph.
What is a removable discontinuity?
300
The horizontal asymptote of the function (3x^2-2x+16) / (2x^2+x-21).
What is y= 3/2?
300
The quadrant the graph of √x would be in after a transformation of: - √-x.
What is the third quadrant?
300
The simplified version of 4x^2 * (2xy)^3 * y^3
What is 32 x^5 y^6?
300
The inverse of log x.
What is 10^x?
400
The kind of transformation that causes the graph of a function to shift or slide.
What is a translation?
400
The vertex of the function: -(x-2)^2+4
What is (2,4)?
400
The exponent that results in a cubed root.
What is 1/3?
400
The inverse of log (3x+1).
What is (10^x - 1) / 3?
500
The act of converting a quadratic equation to its vertex form.
What is "completing the square"?
500
The transformations occurring to the graph of (-x-5)^3-6.
What is a translation right 5, a reflection across the y-axis, and a translation down 6?
500
The equation to represent the continuous compounding of a $2500 investment that earns 10% annually.
What is $2500e^(0.1*t)?
500
The time it takes for a car to depreciate to a quarter of its value if it is initially worth $22000 and is depreciating at a rate of 11% each year.
What is 11.9 years?