Graphing a rational function.

I'm trying to graph

4x^2+12x+9 / x^2-6x-5

I factored out the two

(2x+3)^2 / (x-1)(x-5)

The points I have are

Zeroes

-3/2 with the multiplicity of 2 ( is this a zero for both -3/2 and 3/2 or just -3/2?)

VA

5 m1

1 m1

HA

4

Y int.

9/5

When I plot in the data for these points and check with what the calculator got i get mixed up. Am I missing data?

Re: Graphing a rational function.

You have factored the denominator incorrectly. Use the quadratic formula to find the VAs.

The function has only 1 zero, of multiplicity 2.