Graphing Rational Functions

Which graph represents the function?

 $f\left(x\right)=\frac{1}{x-4}+3$  

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Tags

CCSS.HSF-IF.C.7D

Describe the transformations from the parent function, f(x) = 1/x.

• Shift left 9 units, shift up 2 units

• Shift right 9 units, shift up 2 units

• Shift right 9 units, shift down 2 units

• Shift right 2 units, shift down 9 units

Tags

CCSS.HSF.BF.B.3

Which is the graph of the rational equation:

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Tags

CCSS.HSF-IF.C.7D

What is an asymptote?

• an imaginary line that your function never touches

• a part of your function

• a point on your graph

• a type of fruit

Tags

CCSS.HSF-IF.C.7D

Referring to f(x)=  $\frac{1}{x}$  how does f(x) =  $\frac{1}{x+3}$  translate?. 

• Shifts right 3

• Shifts up three

• Shifts left three

• Shifts down three

Tags

CCSS.HSF.BF.B.3

Referring to f(x)=  $\frac{1}{x}$  how does f(x) =  $\frac{1}{x}+3$  translate?

• Shifts right 3 units.

• Shifts up 3 units.

• Shifts left 3 units.

• Shifts down 3 units.

Tags

CCSS.HSF.BF.B.3

Referring to f(x) =  $\frac{1}{x}$  how does f(x) =   $\frac{1}{x-4}+1$ Translate. 

• Shifts left 4 units and up 1 unit.

• Shifts left 4 units and down 1 unit.
  

• Shifts right 4 units and up 1 unit.
  

• Shifts right 4 units and down 1 unit.

Tags

CCSS.HSF.BF.B.3

Referring to f(x) =  $\frac{1}{x}$  which function shifts down 6 units?

• F(x) = $\frac{1}{x-6}$  

• F(x) = $\frac{1}{x}-6$  

• F(x) = $\frac{1}{x+6}$  

• F(x) = $\frac{1}{x}+6$  

Tags

CCSS.HSF.BF.B.3

what is the equation that best matches the graph?

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7D

What is the equation of the rational function graphed?

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Tags

CCSS.HSF-IF.C.7D