Functions and Limits

• -1

• 5

• 0

• DNE

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

What's the horizontal asymptote of the function?

• y = 3

• No horizontal asymptote

• y = 0

• y = 2

What are the coordinates of the hole, if one exists.

• (-1, -2)

• (-1, ½)

• (-1, -½)

• there isn't one

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

Tags

one-sided limits

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

Tags

one-sided limits

Is f continuous at -4? Recall that: lim_{x\rightarrow\left(-4^{-}\right)}f\left(x\right)=2 lim_{x\rightarrow\left(-4^{+}\right)}f\left(x\right)=-2

• Yes the function is continuous at -4.

• No the function is not continuous at -4.

Tags

one-sided limits

limits

Find $\lim_{x\rightarrow\left(-6^-\right)}f\left(x\right)$

Tags

one-sided limits

limits

Find $\lim_{x\rightarrow\left(-6^+\right)}f\left(x\right)$

Tags

limits

one-sided limits

Is $f$ continuous at -6?

Recall that:
$\lim_{x\rightarrow\left(-6^-\right)}f\left(x\right)=\infty$
$\lim_{x\rightarrow\left(-6^+\right)}f\left(x\right)=-\infty$

• Yes the function is continuous at -6.

• No the function is not continuous at -6.

Tags

limits

one-sided limits