Rational Functions Vocabulary

Rational Function

• the set of all output values / the set of all y-values

• the set of all input values / the set of all x-values

• a function that is written as a fraction where both the numerator and denominator are polynomials

• where the graph touches or crosses the x-axis

Domain

• the set of all output values / the set of all y-values

• the set of all input values / the set of all x-values

• a.      a function that is written as a fraction where both the numerator and denominator are polynomials

• where the graph touches or crosses the x-axis

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Range

• the set of all output values / the set of all y-values

• the set of all input values / the set of all x-values

• a.      a function that is written as a fraction where both the numerator and denominator are polynomials

• where the graph touches or crosses the x-axis

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Zeros/Roots

• the set of all output values / the set of all y-values

• the set of all input values / the set of all x-values

• a.      a function that is written as a fraction where both the numerator and denominator are polynomials

• where the graph touches or crosses the x-axis

Tags

CCSS.HSF-IF.C.7C

Points of Discontinuity

• a dotted line that the ends of the graph approach

• where the graph is not continuous (there is a break in the graph)

• a dotted line that the graph approaches but never touches / occur at the x-value(s) that make the function undefined

• the x-values

Tags

CCSS.HSF-IF.C.7D

Horizontal Asymptotes

• a dotted line that the ends of the graph approach

• where the graph is not continuous (there is a break in the graph

• a dotted line that the graph approaches but never touches / occur at the x-value(s) that make the function undefined

• the x-values

Tags

CCSS.HSF-IF.C.7D

Vertical Asymptotes

• a dotted line that the ends of the graph approach

• where the graph is not continuous (there is a break in the graph

• a dotted line that the graph approaches but never touches / occur at the x-value(s) that make the function undefined

• the x-values

Tags

CCSS.HSF-IF.C.7D

Which values are used when measuring the intervals of increase/decrease?

• y-intercepts

• x-intercepts

• the y-values

• the x-values

Extrema

• the point(s) where the graph changes directions forming a maximum or minimum

• negative and positive infinity

• the largest y-value

• the largest x-value

Which characteristic best describes the end behavior?

• Vertical asymptote

• Horizontal asymptote

• extrema

• y-intercept

Tags

CCSS.HSF-IF.C.7D