Rational Functions

Question 1

A ____________ is a function of the form f(x) = p(x)/q(x) where p(x) and q(x) are both polynomial functions and q(x) is not the
zero function or q(x) ≠ 0 .

Answer 1

Rational function

Question 2

So, a ________________ is a ratio of two
polynomials.

Answer 2

Rational function

Question 3

The domain of a rational function is all values of x where q(x) ≠ 0, represented as ____________.

Answer 3

{ x ∈ R|q(x) ≠ 0 }

Question 4

Both numerator and denominators are polynomials

Answer 4

Rational expressions

Question 5

Numberators/ denominator have a variable inside the radical, so not a polynomial

Answer 5

Not a rational expressions

Question 6

An equation involving rational expressions and uses the symbol =

Answer 6

Rational equation

Question 7

An inequality involving rational expressions and uses the symbols ≠ , >, <, =<, & =>

Answer 7

Rational inequality

Question 8

A function of the form f(x) = p(x)/q(x) where p(x) and q(x) are both polynomials functions and q(x) is not the zero function or q(x) ≠ 0

Answer 8

Rational function

Question 9

The equations involve rational expressions.

Answer 9

Rational equation

Question 10

The inequalities involve rational
expressions.

Answer 10

Rationality inequality

Question 11

The __________ of a rational function is the set of all real numbers except those values that make its denominator equal to
zero.

Answer 11

Domain