4-3 Attributes and Transformations of Rational Functions

•  $\left(-\infty,\ \infty\right)$  

• $\left(-\infty,\ 0\right)U\left(0,\ \infty\right)$

• $\left(-\infty,\ -2\right)U\left(-2,\ \infty\right)$

• $\left(-\infty,\infty\right)U\left(\infty,\ \infty\right)$

Tags

CCSS.HSF-IF.C.7D

Which graph represents the function?

 $f\left(x\right)=\frac{1}{x-4}+3$  

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Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6G

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

What are the asymptotes?

• x=-1 y = -3
• x=1 y = -3
• x=-1 y =3
• x=1, y=3

Tags

CCSS.HSF-IF.C.7D

Which is the graph of the rational equation:

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Tags

CCSS.HSF-IF.C.7D

What is the domain and range?

• D : All real numbers where x ≠ -3

  R: All real numbers where y≠ 1

• D : All real numbers where x ≠ 1

  R: All real numbers where y≠ -3

• D : All real numbers where x ≠ 3

  R: All real numbers where y≠ 1

• D : All real numbers where x ≠ -1

  R: All real numbers where y≠ 3

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

What is the vertical asymptote?

• x = 2

• y = 2

• x = 1

• y = 1

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

What is the domain and range?

• D : $\left(-\infty,-3\right)\cup\left(-3,\infty\right)$
  R: $\left(-\infty,1\right)\cup\left(1,\infty\right)$

• D : $\left(-\infty,1\right)\cup\left(1,\infty\right)$
  R: $\left(-\infty,-3\right)\cup\left(-3,\infty\right)$

• D : $\left(-\infty,3\right)\cup\left(3,\infty\right)$
  R: $\left(-\infty,1\right)\cup\left(1,\infty\right)$

• D: $\left(-\infty,-1\right)\cup\left(-1,\infty\right)$
  R: $\left(-\infty,3\right)\cup\left(3,\infty\right)$

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

What is the domain and range?

• $D:\ \left(-\infty,2\right)\cup\left(2,\infty\right)$
  

  $R:\ \left(-\infty,1\right)\cup\left(1,\infty\right)$
  

• $D:\ \left(-\infty,1\right)\cup\left(1,\infty\right)$
  $R:\ \left(-\infty,2\right)\cup\left(2,\infty\right)$

• $D:\ \left(-\infty,2\right)\cup\left(2,\infty\right)$
  $R:\ \left(-\infty,\frac{1}{2}\right)\cup\left(\frac{1}{2},\infty\right)$

• $D:\ \left(-\infty,-2\right)\cup\left(-2,\infty\right)$
  $R:\ \left(-\infty,-1\right)\cup\left(-1,\infty\right)$

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1