8.1 Graphing Rational Functions HW

What is the equation of the function seen here?

• $f\left(x\right)=\frac{1}{x+2}+1$

• $f\left(x\right)=\frac{1}{x-2}+1$

• $f\left(x\right)=\frac{1}{x-1}+2$

• $f\left(x\right)=\frac{1}{x+1}-2$

Tags

CCSS.HSF-IF.C.7D

What is the term for a line that a graph approaches but never touches?

• Intercept

• Undefined

• Asymptote

• Rational

Tags

CCSS.HSF-IF.C.7D

Referring to f(x) =  $\frac{1}{x}$  how does f(x) =  $\frac{1}{x+2}-5$  translate?

• Shifts left 2 units and up 5 units.

• Shifts right 2 units and up 5 units.
  

• Shifts right 2 units and down 5 units.

• Shifts left 2 units and down 5 units.

Tags

CCSS.HSF.BF.B.3

Referring to f(x) =  $\frac{1}{x}$  which function shows a vertical stretch by 2 shifts right 10 units and up 4 units?

• F(x) =  $\frac{2}{x-10}-4$  

• F(x) =  $\frac{2}{x+10}+4$  

• F(x) =  $\frac{1}{2\left(x-10\right)}-4$  

• F(x) =  $\frac{2}{x-10}+4$  

Tags

CCSS.HSF.BF.B.3

What are the asymptotes (VA and HA)?

• x = -3 y = 1

• x = 3 y = 1

• x = -3 y = -1

• x = 3 y = -1

Tags

CCSS.HSF-IF.C.7D

Which of the following represents the graph below?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

Select all of the true statements

• the y-intercept is $\left(0,\frac{9}{2}\right)$

• VA x=2

• VA x=-2

• HA y=7

• the x-intercept is $\left(\frac{9}{7},0\right)$

Tags

CCSS.HSF-IF.C.7D

State the Domain and Range.

• {x e R | x does not equal 5} and {y e R | y does not equal 7}

• {x e R | x does not equal -5} and {y e R | y does not equal 7}

• {x e R | x does not equal 5} and {y e R | y does not equal -7}

• {y e R | y does not equal 5} and {y e R | y does not equal 7}

State the transformations that have occurred from the parent function $y=\frac{8}{x+5}-6$  

• vertical stretch

• vertical compression

• shift right

• shift left

• translate down

Tags

CCSS.HSF.BF.B.3

What is the point of rotational symmetry about?  $y=\frac{8}{x+5}-6$  

• (5, -6)

• (-5, -6)
  

• (8, -6)

• (-5, 6)