Rational Expressions and Graphs

What are the restrictions?

• $x\ne-3,\ x\ne4$

• $x\ne3,\ x\ne-4$

• $x\ne6,\ x\ne-2$

• $x\ne-6,\ x\ne2$

Simplify

• A.
• B.
• C.
• D.

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What are the asymptotes?

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

Tags

CCSS.HSF-IF.C.7D

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1
• D : All real number x ≠ 1
  R: All real number y≠ -3
• D : All real number x ≠ 3
  R: All real number y≠ 1
• D : All real number x ≠ -1
  R: All real number y≠ 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Simplify

• A

• B

• C

• D

Simplify.

• $\frac{\left(m+6\right)}{\left(m-3\right)}$

• $\frac{7}{\left(m-3\right)}$

• $7\left(m+6\right)$

• $\left(m-3\right)$

Simplify.

• $\frac{\left(x+6\right)}{\left(x+4\right)}$

• $\left(x+6\right)\left(x+4\right)$

• $\left(x+6\right)$

• $\frac{\left(x+6\right)}{\left(x-5\right)}$

Simplify

Hint:(bottom is dif of square)

• $\frac{\left(x+9\right)}{\left(x+9\right)}$

• $\frac{1}{\left(x-9\right)}$

• $x+9$

• $\frac{1}{\left(x+9\right)}$

What are the asymptotes?

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

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

What is the domain of the function?

• All real numbers except 3

• All real numbers except 3 and 1

• All real numbers except 3 and -2

• All real numbers except 3 and -4