Solving Rational Functions Both Types

What is an asymptote in the context of rational functions?

• A line that a graph approaches but never touches or crosses.

• A line that a graph crosses at one point.

• A line that a graph touches at one point.

• A line that a graph intersects at multiple points.

Tags

CCSS.HSF-IF.C.7D

What are the two types of asymptotes that a rational function can have?

• vertical and horizontal

• positive and negative

• curved and straight

• oblique and diagonal

Tags

CCSS.HSF-IF.C.7D

A vertical asymptote is found by setting the _________= to zero and solving for x 

• Numerator

• Denominator

• Right side 

• Left side

Tags

CCSS.HSF-IF.C.7D

• x = 0

• x = 1/7

• x = 7

• y = 7

Tags

CCSS.HSF-IF.C.7D

Label the graph

b

c

d

e

a

Horizontal Asymptote

y-intercept

x-axis

Vertical Asymptote

origin

Tags

CCSS.HSF-IF.C.7D

• y = 0

• x = 1/7

• x = 7

• y = 7

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote on a rational functional when BOTH degrees are EQUAL?

• y = 0

• NO HA

Tags

CCSS.HSF-IF.C.7D

Solve the equation for x.

• 6

• 12

• 0

• 3

Tags

CCSS.HSA.REI.A.2

Solve for x.

• 2

• 18/5

• 26/5

• 6

Tags

CCSS.HSA.REI.A.2