4/8-4/9 - 5th Period - Attributes of Rational Functions

Find the vertical asymptote(s) of  $y=\frac{\left(x+3\right)\left(x-5\right)}{\left(x+1\right)\left(x+4\right)}$  

• x = 1, x = 4

• x = - 1, x = - 4

• x = 3, x = - 5

• x = - 3, x = 5

To find the horizontal asymptote of this function, which do you use?  $Y=\frac{X^2-3X+5}{X^3-2X+2}$  

• BOBO

• BOTNO

• EATSDC

What is the x-value of the hole in this function?  $y=\frac{\left(x+3\right)\left(x+7\right)}{\left(x-4\right)\left(x+7\right)}$  

• 7

• 4

• -7

• -4

What is the x-intercept for this graph?

• (-2, -0.111)

• (-3,0)

• (0,-0.429)

Describe the vertical asymptote(s) and hole(s) for the graph of  $y=\frac{\left(x-3\right)\left(x-1\right)}{\left(x-1\right)\left(x-5\right)}$ .

• VA: x=5; Hole: x=1

• VA: x=-5; Hole: x=-1

• VA: x=-3; Hole: x=5

• VA: x=5; Hole: x=-1

What is the domain for this graph?

• $\left(-\infty,-3\right)\left(-3,\infty\right)$

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