Limits (Graphs,Tables,Equations)

A function f(x) was entered into a graphing calculator. Then the table function was used to come up with the table of values shown here. Use the table to determine the value of  $\lim_{x\rightarrow4}f\left(x\right)$  .

• 14

• 4

• DNE

• 13.999

• 14.001

Given this table, what limits are most accurate?

• As x approaches 3, the limit is infinity

• As x approaches 3, the limit is negative infinity

• As x approaches 3 from the left, the limit is negative infinity & as x approaches 3 from the right is positive infinity, so the overall limit does not exist

• As x approaches 3 from the left, the limit is -600 & as x approaches 3 from the right is 600, so the overall limit does not exist

What is the following limit:

 $\lim_{x\rightarrow-4^-}\ \ f\left(x\right)$  

• 2

• -4

• DNE

• -2

What is f(6)?

• 6

• 5

• 2

• -1

What is the following limit:

 $\lim_{x\rightarrow6}\ \ f\left(x\right)$  

• 6

• 5

• 2

• -1

• Does not exist
• -2
• 0
• -1

• Does not exist
• 2
• 0
• 1

The graph of f is shown in the figure. Which of the following statements is false?

• 
• 
• 
• 

• -7

• 0

• 1

• DNE

What is the limit?

• 2

• -2

• $\frac{1}{2}$
  

• $-\frac{1}{2}$