From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.

Algebra II Terms

Get down with the lingo

Asymptote

Closer and closer and closer…a line that a graph approaches but never touches.

Combined Variation

A relationship between three variables that combines or merges direct variation and inverse variation. Here's the general form:


Domain

"D" is for domain, where the denominator doesn't equal diddly (by that, we mean the denominator isn't zero). The domain is just all the possible x-values a rational function can take.

Direct Variation

A relationship between two variables that are directly proportional; when one increases, the other does too, and vice versa. The general form looks like this guy right here, where k is the constant of variation:

y = kx

Extraneous Solution

A false solution to an equation. It makes the equation blow up because the denominator is zero.

Intercept

For all you sports nuts—think football. It's the point where a graph "takes," "seizes," or "crosses" an axis.

Inverse Variation

A relationship between two variables that are inversely proportional. In other words, as x increases, y decreases, and vice versa. Here's what that looks like in equation form, where k is the constant of proportionality:


Joint Variation

Joint = together. It's a relationship where one variable is directly proportional to two other variables at the same time, with a constant of variation (k) thrown in for good measure. Here's the equation:

y = kxz

Rational Equation

Keep an eye out for "ratios" and an "=" sign. This is an equation involving one or more rational expressions.

Rational Expression

An expression with a polynomial in the numerator and another polynomial in the denominator. For the expression to be defined, the polynomial in the denominator must be non-zero. You know how grumpy mathematicians get about dividing by zero.

Rational Function

"Rational" = ratio. This is a function that's equal to the ratio of two polynomials.

Reciprocal

A "flipped" or inverted fraction. Watch out for the zeros in the denominator.

People who Shmooped this also Shmooped...

Advertisement