Functions (general)

Match the graph with the correct equation.

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CCSS.HSF-IF.C.7B

Graph

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CCSS.HSF-IF.C.7B

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

Graph

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Tags

CCSS.HSF-IF.C.7B

What are the domain restrictions for the middle piece of this function?

• x ≥ 1

• x ≥ 2

• 2 ≤ x < 6

• 1 ≤ x < 3

• x < -1

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Piecewise Functions

To find the intersection you press

• 2nd trace

  intersect

  find first curve and second curve

  enter for intersection

• 2nd trace

  intersect

  find left and right bounds

  press y=

Tags

CCSS.HSF-IF.C.7B

Compare $f\left(-2\right)\ and\ \lim it\ as\ x\rightarrow-2$ 

•  $f\left(-2\right)=0=\lim_{x\rightarrow-2}f\left(x\right)$  
  

•  $f\left(-2\right)=0\ne\lim_{x\rightarrow-2}f\left(x\right)$  

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

•  $f\left(-2\right)=-1\ne\lim_{x\rightarrow-2}f\left(x\right)$  
  

Tags

CCSS.HSF-IF.C.7B

Given the piecewise definition

f(x)={−x−3 if x<−3

{x+3 if x≥−3

What does the first graph look like?

• upper left to lower right

• lower left to upper right

Tags

CCSS.HSF-IF.C.7B

Which piecewise function corresponds to this graph? (Take your time)

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Tags

CCSS.HSF-IF.C.7B

Graph

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Tags

CCSS.HSF-IF.C.7B