SWAT It!

SWAT It!Rational Functions

A line that is tangent to the

curve.

An input where the function is

undefined.

An input where the output is

zero.

Line at an input where the

numerator is not zero but the

denominator is.

An output where the

input is zero.

A ratio of polynomials.

A ratio of polynomials

with no common factors.

An input where an output can be defined to make the graph locally

continuous.

The polynomial being divided.

The polynomial divisor of another

polynomial.

When two rational functions

have the same graph except for

removable discontinuities.

A polynomial with rational coefficients.

A polynomial that can divide

another polynomial.

An asymptote that describes

constant behavior at

extreme input values.

A line that approximates

the behavior of the graph.

Asymptote

A line that is tangent to the

curve.

An input where the function is

undefined.

An input where the output is

zero.

Line at an input where the

numerator is not zero but the

denominator is.

An output where the

input is zero.

A ratio of polynomials.

A ratio of polynomials

with no common factors.

An input where an output can be defined to make the graph locally

continuous.

The polynomial being divided.

The polynomial divisor of another

polynomial.

When two rational functions

have the same graph except for

removable discontinuities.

A polynomial with rational coefficients.

A polynomial that can divide

another polynomial.

An asymptote that describes

constant behavior at

extreme input values.

A line that approximates

the behavior of the graph.

Vertical Asymptote

A line that is tangent to the

curve.

An input where the function is

undefined.

An input where the output is

zero.

Line at an input where the

numerator is not zero but the

denominator is.

An output where the

input is zero.

A ratio of polynomials.

A ratio of polynomials

with no common factors.

An input where an output can be defined to make the graph locally

continuous.

The polynomial being divided.

The polynomial divisor of another

polynomial.

When two rational functions

have the same graph except for

removable discontinuities.

A polynomial with rational coefficients.

A polynomial that can divide

another polynomial.

An asymptote that describes

constant behavior at

extreme input values.

A line that approximates

the behavior of the graph.

Rational Function

When two rational functions

have the same graph except for

removable discontinuities.

A polynomial with rational coefficients.

A polynomial that can divide

another polynomial.

An asymptote that describes

constant behavior at

extreme input values.

A line that approximates

the behavior of the graph.

A ratio of polynomials.

A ratio of polynomials

with no common factors.

An input where an output can be defined to make the graph locally

continuous.

The polynomial being divided.

The polynomial divisor of another

polynomial.

A line that is tangent to the

curve.

An input where the function is

undefined.

An input where the output is

zero.

Line at an input where the

numerator is not zero but the

denominator is.

An output where the

input is zero.

Denominator

When two rational functions

have the same graph except for

removable discontinuities.

A polynomial with rational coefficients.

A polynomial that can divide

another polynomial.

An asymptote that describes

constant behavior at

extreme input values.

A line that approximates

the behavior of the graph.

A ratio of polynomials.

A ratio of polynomials

with no common factors.

An input where an output can be defined to make the graph locally

continuous.

The polynomial being divided.

The polynomial divisor of another

polynomial.

A line that is tangent to the

curve.

An input where the function is

undefined.

An input where the output is

zero.

Line at an input where the

numerator is not zero but the

denominator is.

An output where the

input is zero.

Root

An output where the

input is zero.

Line at an input where the

numerator is not zero but the

denominator is.

An input where the output is

zero.

An input where the function is

undefined.

A line that is tangent to the

curve.

A line that approximates

the behavior of the graph.

An asymptote that describes

constant behavior at

extreme input values.

A polynomial that can divide

another polynomial.

A polynomial with rational coefficients.

When two rational functions

have the same graph except for

removable discontinuities.

The polynomial divisor of another

polynomial.

The polynomial being divided.

An input where an output can be defined to make the graph locally

continuous.

A ratio of polynomials

with no common factors.

A ratio of polynomials.

Horizontal Asymptote

An output where the

input is zero.

Line at an input where the

numerator is not zero but the

denominator is.

An input where the output is

zero.

An input where the function is

undefined.

A line that is tangent to the

curve.

A line that approximates

the behavior of the graph.

An asymptote that describes

constant behavior at

extreme input values.

A polynomial that can divide

another polynomial.

A polynomial with rational coefficients.

When two rational functions

have the same graph except for

removable discontinuities.

The polynomial divisor of another

polynomial.

The polynomial being divided.

An input where an output can be defined to make the graph locally

continuous.

A ratio of polynomials

with no common factors.

A ratio of polynomials.

Factor

An output where the

input is zero.

Line at an input where the

numerator is not zero but the

denominator is.

An input where the output is

zero.

An input where the function is

undefined.

A line that is tangent to the

curve.

A line that approximates

the behavior of the graph.

An asymptote that describes

constant behavior at

extreme input values.

A polynomial that can divide

another polynomial.

A polynomial with rational coefficients.

When two rational functions

have the same graph except for

removable discontinuities.

The polynomial divisor of another

polynomial.

The polynomial being divided.

An input where an output can be defined to make the graph locally

continuous.

A ratio of polynomials

with no common factors.

A ratio of polynomials.

Removable Discontinuity

An output where the

input is zero.

Line at an input where the

numerator is not zero but the

denominator is.

An input where the output is

zero.

An input where the function is

undefined.

A line that is tangent to the

curve.

A line that approximates

the behavior of the graph.

An asymptote that describes

constant behavior at

extreme input values.

A polynomial that can divide

another polynomial.

A polynomial with rational coefficients.

When two rational functions

have the same graph except for

removable discontinuities.

The polynomial divisor of another

polynomial.

The polynomial being divided.

An input where an output can be defined to make the graph locally

continuous.

A ratio of polynomials

with no common factors.

A ratio of polynomials.

Equivalent Rational Function

Graph Round

Instructions• This game is explained in depth on @jreulbach’s blog at

http://ispeakmath.wordpress.com/• You will make one slide for EACH item that you want to review.• The YELLOW box indicates the square with the answer. Move

it to the correct place for each slide.• I type in all 15 definitions or answers.• Then, I duplicate the slide for EACH new question.• I “mix-up” the definitions every 5 slides to keep them guessing.

I do this by moving the entire row three to the row one spot.• I added the graphs by capturing images from Wolfram|Alpha –

John Golden, mathhombre.blogspot.com• Photo: Flickr – Tattooed Hippie, Melissa Eder