2.6 Bell work A2

A ________________ is a group of functions with graphs that display on or more similar characteristics

• family of functions

• bunch of functions

• relationship

• functionship

The _______________ is the simplest function with the defining characteristics of the family

• child function

• sibling function

• parent function

• main function

Function in the same family are _______________ of their parent functions

• groupings

• transformations

• the same

• trees

Rigid transformations change only the position of the graph, leaving the size and shape the same

• True

• False

Vertical Translations

 $f\left(x\right)\rightarrow f\left(x-b\right)$ 

 $f\left(x\right)\rightarrow f\left(x+b\right)$  

• True

• False

 $f\left(x\right)=\frac{1}{x-2}$ 

 

Find f( -x )

•  $f\left(-x\right)=-\frac{1}{x-2}$  

•  $f\left(-x\right)=\frac{-1}{x-2}$  

•  $f\left(-x\right)=\frac{1}{-x-2}$  

 $f\left(x\right)=\frac{1}{x-6}$  

Find the domain

•  $D=\left(-\infty,\ 0\right)\cup\left(0,\infty\right)$  

•  $D=\left(-\infty,6\right)\cup\left(6,\ \infty\right)$ 

•  $D=\left(-\infty,-6\right)\cup\left(-6,\ \infty\right)$  

What is the domain?

• -3 < y ≤ 3
• -4 ≤ y ≤ 5
• -4 ≤ x ≤ 5
• -3 < x ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the RANGE?

• (-∞, ∞)
• (-2, ∞)
• [-2, ∞)
• (-∞, 0) U (0, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How confident are you at this topic?

• I could teach this

• I'm pretty good

• I need practice

• I need help (come to office hours =)