Intercepts, Zeroes & asymptotes of Rational functions

Which of the following is the set of all values that f(x) can take?

• Range

• Intercept

• Domain

• Zeroes

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the y-intercept of

 $f\left(x\right)=\frac{x-3}{x+3}?$  

• 0

• -1

• -3

• -5

Tags

CCSS.HSF-IF.C.7D

What is the x-intercept of

 $f\left(x\right)=\frac{x-1}{x}$  ?

• x = -1

• x = 0

• x = 1

• all real numbers

Tags

CCSS.HSF-IF.C.7D

Complete the sentence: The x-intercept of rational function is also ___________ of the graph of the function

• asymptote

• range

• zero

• domain

Tags

CCSS.HSF.BF.B.3

Which of the following are the points of intersection of the graph and the axes?

• Range

• Intercept

• Domain

• Zeroes

Tags

CCSS.HSF-IF.C.7E

What is the domain of

 $f\left(x\right)=\frac{3}{x}?$  

• D = {x|x=1}

• D = {x|x=0}

• D = {x|x≠1}

• D = {x|x≠0}

Which of the following is not a true statement?

• A rational function is a quotient of functions.

• Asymptotes are a common characteristic of rational function.

• An asymptote is a line that a graph approaches, but does not touch.

• Domain and Range of rational functions are always equal.

Tags

CCSS.HSF-IF.C.7D

If the degree of the leading coefficient of the numerator is less than to the degree of the leading coefficient of the denominator of a rational function, which of the following statements has to be true?

• The graph has no asymptote

• The graph of the function has slant asymptote

• The graph of the function has a horizontal asymptote

• None of the above

Tags

CCSS.HSF-IF.C.7D

What is the zero of

 $f\left(x\right)=\frac{x+5}{3x^2}?$  

• x = 5

• x = 0

• x = -3

• x = -5

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of

 $f\left(x\right)=\frac{3x+1}{x-5}?$  

• y = 5

• y = 3

• y = 1

• y = 0

Tags

CCSS.HSF-IF.C.7D