Graphing functions

I Do:

Where is there a hole on the graph of the function?

• x = 2

• x = -2

• There are no holes.

• x = 5

Which of the following represents the graph below?

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Describe the end behavior of the graph.

• As $x\longrightarrow\infty,\ f\left(x\right)\longrightarrow-\infty$ , As $x\longrightarrow-\infty,\ f\left(x\right)\longrightarrow-\infty$

• As $x\longrightarrow\infty,\ f\left(x\right)\longrightarrow\infty$ , As $x\longrightarrow-\infty,\ f\left(x\right)\longrightarrow-\infty$

• As $x\rightarrow\infty,\ f\left(x\right)\rightarrow-1$ , As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow-1$

• As $x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$ , As $x\rightarrow-\infty,\ f\left(x\right)\rightarrow-1$

Which graph has a vertical asymptote at x = 1 and a horizontal asymptote at y = 2?

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Which of the following is the graph of the function:

 $f\left(x\right)=\frac{2}{x+1}+1$  

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Given the functions  $f\left(x\right)=\ \frac{3}{x+6}-8$  identify the function type

• Rational

• Absolute Value

• Quadratic 

• Square Root

Graph the function.

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Graph the function.

 $f\left(x\right)=\frac{-x+1}{x-4}$  

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Where does

 $f\left(x\right)=\frac{\left(x-1\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}$  have a y-intercept?

•  $\left(0,\ -\frac{1}{4}\right)$  

•  $\left(0,0\right)$  

•  $\left(0,-3\right)$  

•  $\left(0,\frac{3}{4}\right)$  

• No y-intercept

What family of function is this?

• Square Root

• Cube Root

• Reciprocal

• Cubic