Logarithmic functions

Logarithmic functions have...

• Vertical asymptote at x=0

• Vertical asymptote at x=1

• Horizontal asymptote at y=1

• Horizontal asymptote at y=0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Exponential functions have...

• Vertical asymptote at x=0

• Vertical asymptote at x=1

• Horizontal asymptote at y=1

• Horizontal asymptote at y=0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

log_a x

This function always passes thru coordinate:

• (0, 1)

• (1, 0)

• (0, a)

• (a, 0)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

a^x

This function always passes thru coordinate:

• (0, 0)

• (1, 0)

• (1, a)

• (a, 1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

What value never changes in the logarithmic functions?

• Vertical asymptote

• Horizontal asymptote

• Domain

• Range

Tags

CCSS.HSF.BF.B.5

Find the corresponding graph of
 $\log_2\left(-x\right)-1$  

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Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the corresponding graph of
 $\log_2\left(-x+1\right)$  

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the corresponding graph of
 $-\log_2\left(x-3\right)$  

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Find the corresponding graph of
 $-\log_2\left(x\right)+3$  

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Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Find the corresponding graph of
 $\log_3\left(x-1\right)+4$  

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Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7