Rational Functions Homework

To find the domain and vertical asymptotes, you set the bottom of the function equal to zero.

• TRUE

• FALSE

Answer explanation

For the domain, we take the values out of all real numbers, and you just use them with "x=" for the vertical asymptotes

Tags

TEKS.MATH.2A.6K

Find the domain of the function:

 $f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$  

•  $D:\ \ all\ Real\ numbers,\ x\ne2,3$  

•  $D:\ \ all\ Real\ numbers,\ x\ne-3,-2$  

•  $D:\ \ all\ Real\ numbers,\ x\ne-3,1$  

•  $D:\ \ all\ Real\ numbers,\ x\ne-1,3$  

Tags

TEKS.MATH.2A.6K

TEKS.MATH.2A.2A

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

Find the vertical asymptotes of the function:

 $f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$  

•  $x=2,3$  

•  $x=-3,-2$  

•  $x=-3,1$  

• None

Tags

TEKS.MATH.2A.6K

To find the horizontal asymptote, you use the FIVE rules we learned in class,

• TRUE

• FALSE

Answer explanation

There were only THREE rules we learned (see the Power Point for them)

Tags

TEKS.MATH.2A.6K

Find the horizontal asymptote of the function:

 $f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$  

•  $y=2$  

•  $y=0$  

•  $y=-2$  

• None

Tags

TEKS.MATH.2A.6K

To find the x-intercepts, you set the bottom equal to zero.

• TRUE

• FALSE

Answer explanation

To find the x-intercepts, you set the TOP equal to zero.

Tags

TEKS.MATH.P.2I

Find the x-intercepts of the function:

 $f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$  

•  $-3,1$  

•  $2,3$  

•  $-1,3$  

•  $-1$  

Tags

TEKS.MATH.P.2I

To find the y-intercept, you make all the x's equal to zero and simplify.

• TRUE

• FALSE

Answer explanation

This means all you need to do is look at the constant value on top and the constant value on the bottom and divide them.

Tags

TEKS.MATH.A.3C

Find the y-intercept of the function:

 $f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$  

•  $-1$  

•  $-3$  

•  $1$  

•  $-3,1$  

Tags

TEKS.MATH.P.2I

Find the domain of the function:

 $f\left(x\right)=\frac{x^3-27}{x^2+10x+9}$  

•  $D:\ \ all\ Real\ numbers,\ x\ne-9,-1$  

•  $D:\ \ all\ Real\ numbers,\ x\ne1,9$  

•  $D:\ \ all\ Real\ numbers,\ x\ne3$  

•  $D:\ \ all\ Real\ numbers,\ x\ne-3$  

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.7I

TEKS.MATH.A.2A

TEKS.MATH.A.6A

TEKS.MATH.A.9A