Basic Rational Functions

Presentation

•

Mathematics

•

10th - 12th Grade

•

Medium

•

CCSS

HSF-IF.C.7D

Standards-aligned

Donald York

Used 222+ times

FREE Resource

7 Slides • 8 Questions

Basic Rational Functions

Rational Functions

What is a Rational Function?
How to determine Zeros
Finding Vertical and Horizontal Asymptotes
Locating Holes

A Hole will occur when N(x) and D(x) are both zero for a given value.

Example: $f\left(x\right)=\frac{3\left(x-5\right)\left(x+1\right)}{\left(x-5\right)\left(x+2\right)}$

Find all Zero's , Vertical and Horizontal Asymptototes, and Holes

Multiple Choice

What is/are the x-intercepts of this graph?

(-2,0) and (2,0)

(-2,0)

(3,0)

(2,0) and (3,0

Multiple Choice

Which asymptote(s) are determined by looking at the denominator?

vertical

horizontal

slant

none

Multiple Choice

What are the asymptotes?

x = -2 and y = -1

x = -2 and y = 1

x = 2 and y = 1

x = 2 and y = -1

Multiple Choice

Find the vertical asymptotes and holes of the function.

Holes: None;

VA: x = 1, -3

Holes: x = -3;

VA: x = 1

Holes: x = -3, 1

VA: None

Holes: x = 1

VA: x = -3

Multiple Choice

Find the horizontal asymptote.

None

y = 0

y = -1/3

y = -3

Multiple Choice

What is the Vertical Asymptotes?

x= -5

x= 5

x= 6

x= -6

Multiple Choice

What is the hole?

x= 4

x= -4

x= 5

x= -5

Multiple Choice

What are the Vertical Asymptotes of...

x = 0, -5

x=0, 5

x = 2, -7

x = -2, 7

Basic Rational Functions

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