Domains of Rational Functions

What creates a hole in the graph of a rational function?

• Crossing the x-axis

• An absence of dirt.

• Crossing a vertical asymptote.

• A factor that cancels out.

Tags

CCSS.HSF-IF.C.7D

State the domain:

• (-oo, 7) U (7, oo)

• (-oo, -7) U (7, oo)

• (7, oo)

• [7, oo)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.5

State the domain:

• (-oo, 1) U (1, oo)

• (-oo, -1) U (-1, 1) U (1, oo)

• (-oo, oo)

• (-oo, -1] U [-1, 1] U [1, oo)

State the domain:

• (-oo, oo)

• (-oo, -2) U (-2, 2) U (2, oo)

• (-2, oo)

• [-2, oo)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

State the domain:

• (-oo, oo)

• (-oo, -3) U (-3,3) U (3, oo)

• (-oo, -3) U (3, oo)

• [-3, 3]

Tags

CCSS.HSA.APR.D.7

State the domain:

• (-oo, oo)

• [3, oo)

• (3, oo)

• (-oo, 3) U (3, oo)

Tags

CCSS.HSA.APR.D.7

What are the coordinates of the y-intercept, if one exists.

• (0, 0)

• (0, 1)

• (0, -1)

• there isn't one

Tags

CCSS.HSF-IF.C.7D

Find the y-intercept.

• (0, -2)

• (0, 2)

• (0, 4)

• it is undefined

Tags

CCSS.HSF-IF.C.7D

Find the domain of the function.  $f\left(x\right)=\frac{3x}{x^2-121}$  

•  $\left\{x\ne-6,5\right\}$  

•  $\left\{x\ne121\right\}$  

•  $\left\{x\ne11\right\}$  

•  $\left\{x\ne-11,11\right\}$  

State the domain restrictions.

• x ≠ 3, -2, 6, -1
• x ≠ -1, 6
• x ≠ 3, -2
• No Domain Restrictions

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.3