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Cubic/Cube Root Attributes
Rational Polynomial Attributes
More Rational Polynomial Attributes
Transformations
100

The domain of both x3 and x1/3 (the cube root of x)

What is all real numbers?
100
The domain of the parent function f(x)=1/x

What is x≠0?

100

The range of the parent function f(x)=1/x

What is y≠0?

100

The transformation of 3x3

What is stretched vertically by 3?
200

The range of both x3 and x1/3 (the cube root of x)

What is all real numbers?
200

A break in the graph of a rational function that the curve approaches but doesn't touch

What is an asymptote?

200
True or false: A rational polynomial always has an x-intercept and a y-intercept
What is false?
200

The transformation of (x-2)1/3

What is shifted 2 units to the right?
300
The number of x- and y-intercepts for a cubic or a cube root function
What is 1?
300

Setting the denominator of a rational polynomial to zero and solving for x gives you this

What is a vertical asymptote?
300

Setting the cancelled factors from a rational polynomial to zero and solving for x gives you this

What is a removable discontinuity?

300
The transformation of 1/(x+3)
What is shifted 3 units to the left?
400
Cubic and cube root functions have this instead of a vertex
What is a point of inflection?
400

This is calculated by comparing the degree of the polynomial in the numerator to the polynomial in the denominator

What is a horizontal asymptote?
400
True or false: A rational polynomial function can have more than one removable discontinuity
What is true?
400

The transformation of 2x3+4

What is stretched 2 times vertically and shifted up 4 units?
500
Where the curve of the graph changes direction
What is the point of inflection?
500

The horizontal asymptote for (2x2-1)/(x2+1)

What is y=2?
500
True or false: A rational polynomial can have more than one vertical asymptote
What is true?
500
The transformation of 1/3x
What is compressed horizontally 3 times?