Graphing Rational Functions

Presentation

•

Mathematics

•

10th - 12th Grade

•

Medium

•

CCSS

HSF-IF.C.7D

Standards-aligned

Jessica Onda

Used 39+ times

FREE Resource

8 Slides • 12 Questions

Graphing Rational Functions

Horizontal Asymptotes

https://youtu.be/qAfETdORmcw

Vertical Asymptotes

https://youtu.be/-jXk1gl_sEo

Y-Intercept

https://youtu.be/YElHmwdbkzQ

X-Intercepts (Zeros/Roots)

https://youtu.be/TX_mx3qULpw

Example: Graphing Rational Functions

https://youtu.be/2N62v_63SBo

Holes

https://youtu.be/irSg7rstDf0

Domain

https://youtu.be/5lYSYUmZZ78

Multiple Select

Select ALL the information that applies to the given rational function.
$f\left(x\right)=\frac{x-3}{-2x^2+8x-6}$

Vertical Asymptote. at x = 1

No Holes

Horizontal Asymptote. at y = 0

y-intercept at (0, 1/2)

Multiple Choice

Is there a hole or a vertical asymptote?

A hole when x = 2

A vertical asymptote at x = 2

there is no hole or vertical asymptote

Multiple Choice

What is the domain?

All real numbers

All real numbers except 4

All real numbers except 2

All real numbers except 2 and -2

Multiple Choice

Find the coordinates of the hole.

(-3, -3)

(-3, 3)

(3, -3)

(3, 3)

Multiple Choice

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

vertical

horizontal

end behavior

none

Multiple Choice

What is the X-Intercept?

x= 0

x= 4

x= 5

x= -5

Multiple Choice

The horizontal asymptote equals zero when:

the degree of the numerator and denominator are equal

the degree of the numerator is less than the degree of the denominator

the degree of the numerator is greater than the degree of the denominator

the numerator equals zero

Multiple Choice

What is the horizontal asymptote of the function?

y=0

y=1/3

none

Multiple Choice

What is the Vertical Asymptote?

x= -5

x= 5

x= 6

x= -6

Multiple Choice

What are the asymptotes?

x = -3 y = 1

x = 3 y = 1

x = -3 y = -1

x = 3 y = -1

Multiple Choice

What are the asymptotes

x=1, x= 2, y =1, y= 2

x= 1, x=-1, y = 1

x=1 y =1

x=-1, y =1, y =-1

Multiple Choice

What is the Horizontal Asymptote?

y= 5

y= -6

y= 1

y= 5/-6

Graphing Rational Functions

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