Unit 4 Test Review

Front

What is a point of discontinuity in a function?

Back

A point where a function is not continuous, which can occur due to a hole or a vertical asymptote.

Front

What does a hole in a function indicate?

Back

A hole indicates that the function is not defined at a certain point, often due to a removable discontinuity.

Front

What is a vertical asymptote?

Back

A vertical line x = a where the function approaches infinity or negative infinity as x approaches a.

Front

How do you perform operations on rational expressions?

Back

Combine like terms, factor where possible, and simplify the expression.

Front

Back

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same value for all values of the variable.

Front

Back

This function has a vertical asymptote at x = 2 and is defined for all other x values.

Front

Back

Cross-multiply to get -2(x+1) = (x-8)(x-1), then solve for x.

Front

Back

The solutions are x = 2 and x = 5.

Front

What is the definition of a rational function?

Back

A function that can be expressed as the ratio of two polynomials.