Using the graph of f(x), what is lim ⁡ x → 2 − f ( x ) \lim_{x\rightarrow2^-}f\left(x\right) x → 2 − lim f ( x ) ?

lim ⁡ x → 2 − f ( x ) = − 2 \lim_{x\rightarrow2^-}f\left(x\right)=-2 x → 2 − lim f ( x ) = − 2

lim ⁡ x → 2 − f ( x ) = − 1 \lim_{x\rightarrow2^-}f\left(x\right)=-1 x → 2 − lim f ( x ) = − 1

lim ⁡ x → 2 − f ( x ) = 0 \lim_{x\rightarrow2^-}f\left(x\right)=0 x → 2 − lim f ( x ) = 0

Use the graph of f ( x ) f\left(x\right) f ( x ) to find lim ⁡ x → 2 + f ( x ) \lim_{x\rightarrow2^+}f\left(x\right) x → 2 + lim f ( x ) .

lim ⁡ x → 2 + f ( x ) = 0 \lim_{x\rightarrow2^+}f\left(x\right)=0 x → 2 + lim f ( x ) = 0

lim ⁡ x → 2 + f ( x ) = − 2 \lim_{x\rightarrow2^+}f\left(x\right)\ =\ -2 x → 2 + lim f ( x ) = − 2

lim ⁡ x → 2 + f ( x ) = − 1 \lim_{x\rightarrow2^+}f\left(x\right)=-1 x → 2 + lim f ( x ) = − 1

Use the graph of f ( x ) f\left(x\right) f ( x ) to find lim ⁡ x → 2 f ( x ) \lim_{x\rightarrow2^{ }}f\left(x\right) x → 2 lim f ( x ) .

lim ⁡ x → 2 f ( x ) = − 2 \lim_{x\rightarrow2^{ }}f\left(x\right)\ =\ -2 x → 2 lim f ( x ) = − 2

lim ⁡ x → 2 f ( x ) = − 1 \lim_{x\rightarrow2^{ }}f\left(x\right)=-1 x → 2 lim f ( x ) = − 1

lim ⁡ x → 2 f ( x ) = 0 \lim_{x\rightarrow2^{ }}f\left(x\right)=0 x → 2 lim f ( x ) = 0

Use the graph of f ( x ) f\left(x\right) f ( x ) to find lim ⁡ x → 4 − f ( x ) \lim_{x\rightarrow4^-}f\left(x\right) x → 4 − lim f ( x ) .

lim ⁡ x → 4 − f ( x ) = 2 \lim_{x\rightarrow4^-}f\left(x\right)=2 x → 4 − lim f ( x ) = 2

lim ⁡ x → 4 − f ( x ) = 0 \lim_{x\rightarrow4^-}f\left(x\right)\ =\ 0 x → 4 − lim f ( x ) = 0

lim ⁡ x → 4 − f ( x ) = 1 \lim_{x\rightarrow4^-}f\left(x\right)=1 x → 4 − lim f ( x ) = 1

Use the graph of f ( x ) f\left(x\right) f ( x ) to find lim ⁡ x → 4 + f ( x ) \lim_{x\rightarrow4^+}f\left(x\right) x → 4 + lim f ( x ) .

lim ⁡ x → 4 + f ( x ) = 2 \lim_{x\rightarrow4^+}f\left(x\right)=2 x → 4 + lim f ( x ) = 2

lim ⁡ x → 4 + f ( x ) = 0 \lim_{x\rightarrow4^+}f\left(x\right)\ =\ 0 x → 4 + lim f ( x ) = 0

lim ⁡ x → 4 + f ( x ) = 1 \lim_{x\rightarrow4^+}f\left(x\right)=1 x → 4 + lim f ( x ) = 1

Use the graph of f ( x ) f\left(x\right) f ( x ) to find lim ⁡ x → 1 f ( x ) \lim_{x\rightarrow1}f\left(x\right) x → 1 lim f ( x ) .

lim ⁡ x → 1 f ( x ) = − 3 \lim_{x\rightarrow1}f\left(x\right)\ =\ -3 x → 1 lim f ( x ) = − 3

lim ⁡ x → 1 f ( x ) = − 3 2 \lim_{x\rightarrow1}f\left(x\right)=-\frac{3}{2} x → 1 lim f ( x ) = − 2 3

lim ⁡ x → 1 f ( x ) = 0 \lim_{x\rightarrow1^{ }}f\left(x\right)=0 x → 1 lim f ( x ) = 0

Limits

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Mathematics

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Medium

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CCSS

HSF.IF.A.2

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Megan Wendler

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1 Slide • 6 Questions

Limits

We will use the graph of f(x) shown to the right to answer some questions about limits.

Multiple Choice

Using the graph of f(x), what is

\lim_{x\rightarrow2^-}f\left(x\right)

$\lim_{x\rightarrow2^-}f\left(x\right)=-2$

$\lim_{x\rightarrow2^-}f\left(x\right)=-1$

$\lim_{x\rightarrow2^-}f\left(x\right)=0$

DNE

Multiple Choice

Use the graph of $f\left(x\right)$ to find

\lim_{x\rightarrow2^+}f\left(x\right)

$\lim_{x\rightarrow2^+}f\left(x\right)\ =\ -2$

$\lim_{x\rightarrow2^+}f\left(x\right)=-1$

$\lim_{x\rightarrow2^+}f\left(x\right)=0$

DNE

Multiple Choice

Use the graph of $f\left(x\right)$ to find

\lim_{x\rightarrow2^{ }}f\left(x\right)

$\lim_{x\rightarrow2^{ }}f\left(x\right)\ =\ -2$

$\lim_{x\rightarrow2^{ }}f\left(x\right)=-1$

$\lim_{x\rightarrow2^{ }}f\left(x\right)=0$

DNE

Multiple Choice

Use the graph of $f\left(x\right)$ to find

\lim_{x\rightarrow4^-}f\left(x\right)

$\lim_{x\rightarrow4^-}f\left(x\right)\ =\ 0$

$\lim_{x\rightarrow4^-}f\left(x\right)=1$

$\lim_{x\rightarrow4^-}f\left(x\right)=2$

DNE

Multiple Choice

Use the graph of $f\left(x\right)$ to find

\lim_{x\rightarrow4^+}f\left(x\right)

$\lim_{x\rightarrow4^+}f\left(x\right)\ =\ 0$

$\lim_{x\rightarrow4^+}f\left(x\right)=1$

$\lim_{x\rightarrow4^+}f\left(x\right)=2$

DNE

Multiple Choice

Use the graph of $f\left(x\right)$ to find

\lim_{x\rightarrow1}f\left(x\right)

$\lim_{x\rightarrow1}f\left(x\right)\ =\ -3$

$\lim_{x\rightarrow1}f\left(x\right)=-\frac{3}{2}$

$\lim_{x\rightarrow1^{ }}f\left(x\right)=0$

DNE

Limits

We will use the graph of f(x) shown to the right to answer some questions about limits.

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