General Mathematics - Activity 3 | Baamboozle - Baamboozle

English 21 Public

Intercepts, Zeroes and Asymptotes of Rational Function

Study Slideshow

Tell whether each of the following is true or false. If the statement is wrong change the underlined word to make it correct. GIVEN: An intercept is a line (or a curve) that the graph of a function gets close to but does not touch.

FALSE - ASYMPTOTE

10

Tell whether each of the following is true or false. If the statement is wrong change the underlined word to make it correct. GIVEN: If n > d, there is no horizontal asymptote.

TRUE

10

Tell whether each of the following is true or false. If the statement is wrong change the underlined word to make it correct. GIVEN: To determine the vertical asymptote of a rational function, find the zeroes of the numerator.

FALSE - denominator

10

Tell whether each of the following is true or false. If the statement is wrong change the underlined word to make it correct. GIVEN: If n < d, the vertical asymptote is y = 0.

FALSE - HORIZONTAL ASYMPTOTE

10

Complete the statement: ______________ of the graph of a rational function are the points of intersection of its graph and an axis.

INTERCEPTS

10

Complete the statement: ______________ of a function are the values of x which make the function zero. The numbered zeroes are also ______________ of the graph of the function.

ZEROES OF A FUNTION ; X-INTERCEPT

10

Complete the statement: ________________ of the graph of a rational function r(x), if it exists, occurs at the zeros of the numerator that are not zeros of the denominators. To find ____________ equate the function to ___________.

X-INTERCEPT ; X-INTERCEPT ; ZERO

15

Complete the statement: An ______________ is an imaginary line to which a graph gets closer and closer as the x or y increases or decreases its value without limit.

ASYMPTOTE

10

Complete the statement: To determine the _______________ of a rational function, compare the degree of the numerator n and the degree of the denominator d.

HORIZONTAL ASYMPTOTE

10

Complete the statement: If n < d, the horizontal asymptote is ___________.

ZERO (0)

10

Complete the statement: An oblique asymptote is a line that is ______________________.

NEITHER VERTICAL NOR HORIZONTAL

10