Warm-Up Function Basics Part 2

A vertical asymptote is also called a ____________________ discontinuity.

• infinite

• removable

• jump

• non-linear

When a function is ODD it has _______________________ symmetry.

• origin

• y-axis

• x-axis

• no

When a function has y-axis symmetry, we say it is an _________________ function.

• even

• odd

• funny

• yellow

Determine if the function below is EVEN or ODD, by looking at the powers only:

 $f\left(x\right)=x^5-3x^3+11x$  

• even

• odd

• neither

Determine if the function below is EVEN or ODD, by looking at the powers only:

 $f\left(x\right)=x^6-3x^8+11x^4+9$  

• even

• odd

• neither

Determine if the function below is EVEN or ODD, by looking at the powers only:

 $f\left(x\right)=8x^6-9x^5+4x^4-3$  

• even

• odd

• neither

To determine the vertical asymptote(s) of a function, you set the _________ equal to zero.

• top

• bottom

• right side

• left side

Find the vertical asymptote(s) of the function:

 $f\left(x\right)=\frac{3x-11}{x^2-81}$  

•  $x=-9,9$  

•  $x=-9$  

•  $x=9$  

•  $x=\frac{11}{3}$  

Where is this function DECREASING?

•  $\left(-\infty,-3\right)$  

•  $\left(-3,5\right)$  

•  $\left(5,\infty\right)$  

•  $\left(-\infty,-3\right)$  and  $\left(5,\infty\right)$  

Where is this function INCREASING?

• $\left(-\infty,-3\right)$ and $\left(\frac{1}{2},\infty\right)$

• $\left(-\infty,-3\right)$

• $\left(-3,\frac{1}{2}\right)$

• $\left(\frac{1}{2},\infty\right)$