Functions and Limits

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• 2

• -2

• 3

Tags

function notation

values of functions

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• 2

• -2

• 3

Tags

function notation

values of functions

Find $f\left(6\right)$

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• 2

• -2

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Tags

function notation

values of functions

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 0?

• Yes the function is continuous at 0.

• No the function is not continuous at 0.

Tags

one-sided limits

limits

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• 0

• does not exist