DO NOW: Rational Functions

 $f\left(x\right)=\frac{\left(x+7\right)\left(x-3\right)\left(x+1\right)}{\left(x-3\right)\left(x-5\right)}$  

Select all of the true statements.

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote? 

• x = 2
• x = 7
• y = 2
• y = 7

Tags

CCSS.HSF-IF.C.7D

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

Tags

CCSS.HSF-IF.C.7D

What is the end behavior as x approaches negative infinity?

• y approaches negative infinity

• y approaches positive infinity

• y approaches 1

• y approaches 2

Tags

CCSS.HSF-IF.C.7D

What is the vertical asymptote? 

• x = 2
• y = 2
• x = 1
• y = 1

Tags

CCSS.HSF-IF.C.7D

How do you find the vertical asymptotes?

• Set the simplified denominator equal to zero.

• Set the canceled out parts of the denominator equal to zero.

• Set the simplified numerator equal to zero.

• Use the leading terms of the numerator and denominator.

Tags

CCSS.HSF-IF.C.7D