Limits of Algebraic Functions

If f(x) is a polynomial function, what is the  $\lim_{x\rightarrow a}f\left(x\right)\ ?$   

• a

• f(a)

• undefined

• 0

Which of the following limit rules is TRUE ?

•  $\lim_{x\rightarrow c}k\ =\ k$

•  $\lim_{x\rightarrow c}\sqrt{g\left(x\right)}\ =\ g\left(c\right)$

•  $\lim_{x\rightarrow a}x^2\ =\ a$

•  $\lim_{x\rightarrow a}\ \frac{f\left(x\right)}{g\left(x\right)}\ =\ \frac{f\left(a\right)}{g\left(a\right)}$

Based on the table, what is the limit of the function as x approaches to 2?

• 3

• 5

• 6

• does not exist

What is the  $\lim_{x\rightarrow2}f\left(x\right)$ ?

• 1

• 2

• 0

• does not exist

Based on the graph, evaluate f(-1) .

• undefined

• -1

• -1

• 3

 $What\ is\ the\ \lim_{x\rightarrow2}f\left(x\right)$  

• 1

• 2

• -1

• does not exist

What is the $\lim_{x\rightarrow2^+}f\left(x\right)$  ?

• -1

• 2

• -3

• does not exist

What is the  $\lim_{x\rightarrow2^-}f\left(x\right)?$  

• 0

•  $+\infty$  

•  $-\infty$  

• does not exist

Evaluate $\lim_{x\rightarrow2}\ \sqrt{x^2\ +6x\ +\ 9}$  .

• 1

•  $\frac{1}{2}$  

• 5

• 3

What is the  $\lim_{x\rightarrow2}\frac{x^2\ -6x\ +8}{2x\ -\ 4}$  ?

• 2

• -2

• -1

• does not exist